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410009157d
* feat: add automorphic number and tests * fix: add spaces * fix: merge tests with test.each
41 lines
1.2 KiB
JavaScript
41 lines
1.2 KiB
JavaScript
/**
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* @function isAutomorphic
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* @author [SilverDragonOfR] (https://github.com/SilverDragonOfR)
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*
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* @see [Automorphic] (https://en.wikipedia.org/wiki/Automorphic_number)
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* @description This script will check whether a number is Automorphic or not
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* @description A number n is said to be a Automorphic number if the square of n ends in the same digits as n itself.
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*
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* @param {Integer} n - the n for nth Catalan Number
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* @return {Integer} - the nth Catalan Number
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* @complexity Time: O(log10(n)) , Space: O(1)
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*
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* @convention We define Automorphic only for whole number integers. For negetive integer we return False. For float or String we show error.
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* @examples 0, 1, 5, 6, 25, 76, 376, 625, 9376 are some Automorphic numbers
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*/
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// n is the number to be checked
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export const isAutomorphic = (n) => {
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if (typeof n !== 'number') {
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throw new Error('Type of n must be number')
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}
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if (!Number.isInteger(n)) {
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throw new Error('n cannot be a floating point number')
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}
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if (n < 0) {
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return false
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}
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// now n is a whole number integer >= 0
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let n_sq = n * n
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while (n > 0) {
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if (n % 10 !== n_sq % 10) {
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return false
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}
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n = Math.floor(n / 10)
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n_sq = Math.floor(n_sq / 10)
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}
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return true
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}
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