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feat: Added digital root algorithm(also with recursion) #1754

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34 changes: 34 additions & 0 deletions Maths/DigitalRoot.js
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Original file line number Diff line number Diff line change
@@ -0,0 +1,34 @@
const digitalRoot = (num) => {
/**
* Calculates the digital root of a number in constant time.
* @param {number} num - The number to compute the digital root for.
* @returns {number} The digital root of the given number.
*
* @example digitalRoot(456) // returns 6
* @example digitalRoot(-999) // returns 9
* @example digitalRoot(0) // returns 0
*/
if (num < 0) num = -num;
return num === 0 ? num : 1 + ((num - 1) % 9);
};
/*------------------------------------------------------------------------------------*/

const digitalRootRecursive = (num) => {
/**
* Calculates the digital root of a number using recursion.
* @param {number} num - The number to compute the digital root for.
* @returns {number} The digital root of the given number.
*
* @example digitalRootRecursive(456) // returns 6
* @example digitalRootrecursive(999) // returns 9
* @example digitalRootRecursive(0) // returns 0
*/
if (num < 0) num = -num; // Handle negative input by converting to positive
if (num < 10) return num; // Base case for single-digit number

// Recursive case: sum digits and continue to reduce
const sum = (num % 10) + digitalRootRecursive(Math.floor(num / 10));
return digitalRootRecursive(sum); // Call digitalRoot recursively to reduce to single digit
};

export { digitalRoot, digitalRootRecursive };
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