From 8ca0efc133cca6bf5110f17caee28bef31df5ca9 Mon Sep 17 00:00:00 2001
From: alex_p <aleksborislavskij@gmail.com>
Date: Mon, 31 Oct 2022 14:43:16 +0300
Subject: [PATCH 1/3] algorithm: add SquareRootLogarithmic algo and a test for
 it

---
 Maths/SquareRootLogarithmic.js           | 41 ++++++++++++++++++++++++
 Maths/test/SquareRootLogarithmic.test.js | 13 ++++++++
 2 files changed, 54 insertions(+)
 create mode 100644 Maths/SquareRootLogarithmic.js
 create mode 100644 Maths/test/SquareRootLogarithmic.test.js

diff --git a/Maths/SquareRootLogarithmic.js b/Maths/SquareRootLogarithmic.js
new file mode 100644
index 0000000000..e272e8e66c
--- /dev/null
+++ b/Maths/SquareRootLogarithmic.js
@@ -0,0 +1,41 @@
+/**
+ * @function squareRootLogarithmic
+ * @description
+ * Return the square root of 'num' rounded down
+ * to the nearest integer.
+ * More info: https://leetcode.com/problems/sqrtx/
+ * @param {Number} num Number whose square of root is to be found
+ * @returns {Number} Square root
+ * @see [BinarySearch](https://en.wikipedia.org/wiki/Binary_search_algorithm)
+ * @example
+ * const num1 = 4
+ * logarithmicSquareRoot(num1) // ====> 2
+ * @example
+ * const num2 = 8
+ * logarithmicSquareRoot(num1) // ====> 2
+ *
+ */
+const squareRootLogarithmic = (num) => {
+  if (typeof num !== 'number') {
+    throw new Error('Input data must be numbers')
+  }
+  let ans = 0
+  let sqrt = 0
+  let e = num
+
+  while (sqrt <= e) {
+    const mid = Math.trunc((sqrt + e) / 2)
+    if (mid * mid === num) {
+      return mid
+    } else if (mid * mid < num) {
+      sqrt = mid + 1
+      ans = mid
+    } else {
+      e = mid - 1
+    }
+  }
+
+  return ans
+}
+
+export { squareRootLogarithmic }
diff --git a/Maths/test/SquareRootLogarithmic.test.js b/Maths/test/SquareRootLogarithmic.test.js
new file mode 100644
index 0000000000..6eec49d239
--- /dev/null
+++ b/Maths/test/SquareRootLogarithmic.test.js
@@ -0,0 +1,13 @@
+import { squareRootLogarithmic } from '../SquareRootLogarithmic'
+
+describe('SquareRootLogarithmic', () => {
+  test('Finding the square root of a positive integer', () => {
+    expect(squareRootLogarithmic(4)).toEqual(2)
+    expect(squareRootLogarithmic(16)).toEqual(4)
+    expect(squareRootLogarithmic(8)).toEqual(2)
+  })
+  test('Throwing an exception', () => {
+    expect(() => squareRootLogarithmic('not a number')).toThrow()
+    expect(() => squareRootLogarithmic(true)).toThrow()
+  })
+})

From 2e56401ae3ee89f0870427752221358543a5436c Mon Sep 17 00:00:00 2001
From: alex_p <aleksborislavskij@gmail.com>
Date: Mon, 31 Oct 2022 14:51:09 +0300
Subject: [PATCH 2/3] fix: fix spelling errors

---
 Maths/SquareRootLogarithmic.js | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/Maths/SquareRootLogarithmic.js b/Maths/SquareRootLogarithmic.js
index e272e8e66c..bd2c123c37 100644
--- a/Maths/SquareRootLogarithmic.js
+++ b/Maths/SquareRootLogarithmic.js
@@ -19,7 +19,7 @@ const squareRootLogarithmic = (num) => {
   if (typeof num !== 'number') {
     throw new Error('Input data must be numbers')
   }
-  let ans = 0
+  let answer = 0
   let sqrt = 0
   let e = num
 
@@ -29,13 +29,13 @@ const squareRootLogarithmic = (num) => {
       return mid
     } else if (mid * mid < num) {
       sqrt = mid + 1
-      ans = mid
+      answer = mid
     } else {
       e = mid - 1
     }
   }
 
-  return ans
+  return answer
 }
 
 export { squareRootLogarithmic }

From 39c9807c75bde0c49189cbfb404eb2d193f51c79 Mon Sep 17 00:00:00 2001
From: alex_p <aleksborislavskij@gmail.com>
Date: Mon, 31 Oct 2022 16:04:48 +0300
Subject: [PATCH 3/3] refactor: rename a variable "e" --> "edge"

---
 Maths/SquareRootLogarithmic.js | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/Maths/SquareRootLogarithmic.js b/Maths/SquareRootLogarithmic.js
index bd2c123c37..e9b54aed37 100644
--- a/Maths/SquareRootLogarithmic.js
+++ b/Maths/SquareRootLogarithmic.js
@@ -21,17 +21,17 @@ const squareRootLogarithmic = (num) => {
   }
   let answer = 0
   let sqrt = 0
-  let e = num
+  let edge = num
 
-  while (sqrt <= e) {
-    const mid = Math.trunc((sqrt + e) / 2)
+  while (sqrt <= edge) {
+    const mid = Math.trunc((sqrt + edge) / 2)
     if (mid * mid === num) {
       return mid
     } else if (mid * mid < num) {
       sqrt = mid + 1
       answer = mid
     } else {
-      e = mid - 1
+      edge = mid - 1
     }
   }
 

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