Add Euclidean Distance

DIRECTORY.md

@@ -40,12 +40,12 @@
   * Compression
     * [Run Length Encoding](https://github.com/TheAlgorithms/Rust/blob/master/src/compression/run_length_encoding.rs)
   * Conversions
-    * [Binary to Decimal](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/binary_to_decimal.rs)
-    * [Binary to Hexadecimal](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/binary_to_hexadecimal.rs)
-    * [Decimal to Binary](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/decimal_to_binary.rs)
-    * [Hexadecimal to Binary](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/hexadecimal_to_binary.rs)
-    * [Octal to Binary](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/octal_to_binary.rs)
-    * [Octal to Decimal](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/octal_to_decimal.rs)
+    * [Binary To Decimal](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/binary_to_decimal.rs)
+    * [Binary To Hexadecimal](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/binary_to_hexadecimal.rs)
+    * [Decimal To Binary](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/decimal_to_binary.rs)
+    * [Hexadecimal To Binary](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/hexadecimal_to_binary.rs)
+    * [Octal To Binary](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/octal_to_binary.rs)
+    * [Octal To Decimal](https://github.com/TheAlgorithms/Rust/blob/master/src/conversions/octal_to_decimal.rs)
   * Data Structures
     * [Avl Tree](https://github.com/TheAlgorithms/Rust/blob/master/src/data_structures/avl_tree.rs)
     * [B Tree](https://github.com/TheAlgorithms/Rust/blob/master/src/data_structures/b_tree.rs)
@@ -162,6 +162,7 @@
     * [Cross Entropy Loss](https://github.com/TheAlgorithms/Rust/blob/master/src/math/cross_entropy_loss.rs)
     * [Doomsday](https://github.com/TheAlgorithms/Rust/blob/master/src/math/doomsday.rs)
     * [Elliptic Curve](https://github.com/TheAlgorithms/Rust/blob/master/src/math/elliptic_curve.rs)
+    * [Euclidean Distance](https://github.com/TheAlgorithms/Rust/blob/master/src/math/euclidean_distance.rs)
     * [Exponential Linear Unit](https://github.com/TheAlgorithms/Rust/blob/master/src/math/exponential_linear_unit.rs)
     * [Extended Euclidean Algorithm](https://github.com/TheAlgorithms/Rust/blob/master/src/math/extended_euclidean_algorithm.rs)
     * [Factors](https://github.com/TheAlgorithms/Rust/blob/master/src/math/factors.rs)

src/math/euclidean_distance.rs

@@ -0,0 +1,41 @@
+// Author : cyrixninja
+// Calculate the Euclidean distance between two vectors
+// Wikipedia : https://en.wikipedia.org/wiki/Euclidean_distance
+
+pub fn euclidean_distance(vector_1: &Vector, vector_2: &Vector) -> f64 {
+    // Calculate the Euclidean distance using the provided vectors.
+    let squared_sum: f64 = vector_1
+        .iter()
+        .zip(vector_2.iter())
+        .map(|(&a, &b)| (a - b).powi(2))
+        .sum();
+
+    squared_sum.sqrt()
+}
+
+type Vector = Vec<f64>;
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    // Define a test function for the euclidean_distance function.
+    #[test]
+    fn test_euclidean_distance() {
+        // First test case: 2D vectors
+        let vec1_2d = vec![1.0, 2.0];
+        let vec2_2d = vec![4.0, 6.0];
+
+        // Calculate the Euclidean distance
+        let result_2d = euclidean_distance(&vec1_2d, &vec2_2d);
+        assert_eq!(result_2d, 5.0);
+
+        // Second test case: 4D vectors
+        let vec1_4d = vec![1.0, 2.0, 3.0, 4.0];
+        let vec2_4d = vec![5.0, 6.0, 7.0, 8.0];
+
+        // Calculate the Euclidean distance
+        let result_4d = euclidean_distance(&vec1_4d, &vec2_4d);
+        assert_eq!(result_4d, 8.0);
+    }
+}

src/math/mod.rs

@@ -16,6 +16,7 @@ mod collatz_sequence;
 mod cross_entropy_loss;
 mod doomsday;
 mod elliptic_curve;
+mod euclidean_distance;
 mod exponential_linear_unit;
 mod extended_euclidean_algorithm;
 mod factors;
@@ -85,6 +86,7 @@ pub use self::collatz_sequence::sequence;
 pub use self::cross_entropy_loss::cross_entropy_loss;
 pub use self::doomsday::get_week_day;
 pub use self::elliptic_curve::EllipticCurve;
+pub use self::euclidean_distance::euclidean_distance;
 pub use self::exponential_linear_unit::exponential_linear_unit;
 pub use self::extended_euclidean_algorithm::extended_euclidean_algorithm;
 pub use self::factors::factors;