updating sqrt to work with doubles

srcs/ft_sqrt.c

@@ -1,15 +1,41 @@
 #include "libft.h"
 
 /*
-** return the square root of nb
-** or the integer value of it
-*/
-int		ft_sqrt(int nb)
+ * return the square root of nb
+ * Newton–Raphson method : https://en.wikipedia.org/wiki/Newton%27s_method#Use_of_Newton's_method_to_compute_square_roots
+ */
+double ft_sqrt(double x)
 {
-	int i;
+	double precision;
 
-	i = 0;
-	while ((i*i) < nb)
-		i++;
-	return (i);
+	if (x < 0)
+		return -1; // handle negative numbers
+	if (x == 0)
+		return 0;
+
+	precision = 0.00001;
+
+	// Newton-Raphson
+	double guess = x;
+	double prev_guess;
+	do
+	{
+		prev_guess = guess;
+		guess = (guess + x / guess) / 2.0;
+	} while (prev_guess - guess > precision);
+	return guess;
+
+	// // binary search
+	// double low = 0
+	// double high = x;
+	// double mid;
+	// while (high - low > precision)
+	// {
+	// 	mid = (low + high) / 2.0;
+	// 	if (mid * mid < x)
+	// 		low = mid;
+	// 	else
+	// 		high = mid;
+	// }
+	// return (low + high) / 2.0;
 }