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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 | 1x 478x 478x 478x 118x 265x 1x 52x 52x 52x 98x 582x 582x 582x 582x 2092x 582x 1510x 582x 928x | /**
* A fraction with a numerator and a denominator.
*/
export class Fraction {
private _numerator: number;
private _denominator: number;
/**
* Creates and immediately reduce the fraction using the greatest common
* divider of the numerator and denominator.
*
* @param {number} numerator
* The numerator of this fraction.
* @param {number} denominator
* The denominator of this fraction.
*/
constructor(numerator: number, denominator: number) {
this._numerator = numerator;
this._denominator = denominator;
this._reduce();
}
/**
* Return a new fraction by adding the given fraction to this fraction.
*
* @param {Fraction} other
* The fraction to add to this one.
* @return {Fraction}
* A new fraction obtained by adding the 2 fractions.
*/
public add(other: Fraction): Fraction {
return new Fraction(
this._numerator * other._denominator +
other._numerator * this._denominator,
this._denominator * other._denominator
);
}
/**
* Return a new fraction by multiplying the given fraction by this fraction.
*
* @param {Fraction} other
* The fraction to multply by this one.
* @return {Fraction}
* A new fraction obtained by multiplying the 2 fractions.
*/
public multiply(other: Fraction): Fraction {
return new Fraction(
this._numerator * other._numerator,
this._denominator * other._denominator
);
}
/**
* Returns the number value of this fraction.
*
* @return {number}
* The number value of this fraction
*/
public valueOf(): number {
return this._numerator / this._denominator;
}
/**
* Checks if this fraction is equal to the provided fraction.
*
* @param {Fraction} other
* The fraction to compare to.
* @return {boolean}
* `true` if the 2 fractions are equal, `false` else.
*/
public sameAs(other: Fraction): boolean {
this._reduce();
other._reduce();
return (
this._numerator === other._numerator &&
this._denominator === other._denominator
);
}
public toString(): string {
return `${this._numerator} / ${this._denominator}`;
}
/**
* Reduce the fraction using the greatest common divider of the numerator
* and the denominator.
*/
private _reduce(): void {
const div = gcd(this._numerator, this._denominator);
Eif (div) {
this._numerator = this._numerator / div;
this._denominator = this._denominator / div;
}
}
}
/**
* Computes the greatest common divider of 2 integers.
*
* @param {number} a
* First integer.
* @param {number} b
* Second integer.
* @returns {number}
* Greatest common divider of `a` and `b`.
*/
function gcd(a: number, b: number): number {
if (b > a) {
return gcd(b, a);
}
if (b === 0) {
return a;
} else {
return gcd(b, a % b);
}
}
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