Pow(x, n)

Posted by Bill on November 7, 2023

Pos(x, n)

Implement pow(x, n), which calculates x raised to the power n (i.e., xn).

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Example 1:

Input: x = 2.00000, n = 10
Output: 1024.00000
Example 2:

Input: x = 2.10000, n = 3
Output: 9.26100
Example 3:

Input: x = 2.00000, n = -2
Output: 0.25000
Explanation: 2-2 = 1/22 = 1/4 = 0.25
 

Constraints:

-100.0 < x < 100.0
-231 <= n <= 231-1
n is an integer.
Either x is not zero or n > 0.
-104 <= xn <= 104

Solution

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class Solution {
public:
    double myPow(double x, int n) {
        if (n == 0) {
          return 1.0;
        }
        double absX = abs(x);
        int absN = abs(n);
        double tmp = myPow(absX, absN / 2);
        bool isNegativeX = x < 0 && n % 2 == 1;
        bool isNegativeN = n < 0;
        double ans;
        if (absN % 2 == 0) {
          ans = tmp * tmp;
        } else {
          ans = tmp * tmp * absX;
        }
        return (isNegativeX ? -1.0 : 1.0) * (isNegativeN ? 1.0 / ans : ans);
    }
};