给定一个double类型的浮点数base和int类型的整数exponent。求base的exponent次方。
解答:默认0的所有次方都为0(包括0的0次方,和0的负幂次方)
a>>1 表示 a/2
a<<1 表示 a×2
判断奇偶:n%2==1 或 (n&1)==1
public class Test12 {
//非递归解法
public double Power(double base, int exponent) {
double result = 1.0;
if (exponent == 0) {
return 1.0;
}
if (base > -0.00001 && base < 0.00001) {
return 0;
}
if (exponent > 0) {
for (int i = 0; i < exponent; i++) {
result = result * base;
}
} else {
exponent = -exponent;
for (int i = 0; i < exponent; i++) {
result = result * base;
}
result = 1.0 / result;
}
return result;
}
//递归方式
public double Power2(double base, int exponent) {
double result = 1.0;
if (exponent == 0) {
return 1.0;
}
if (base > -0.00001 && base < 0.00001) {
return 0;
}
if (exponent > 0) {
result = getResult(base, exponent);
} else {
exponent = -exponent;
result = getResult(base, exponent);
result = 1.0 / result;
}
return result;
}
public double getResult(double base, int exponent) {
if (exponent == 1) {
return base;
}
double result = getResult(base, exponent >> 1);
result *= result;
if ((exponent & 1) == 1) {
result *= base;
}
return result;
}
}