vexflow
Version:
A JavaScript library for rendering music notation and guitar tablature.
173 lines (172 loc) • 5.29 kB
JavaScript
import { RuntimeError } from './util.js';
class Fraction {
static get CATEGORY() {
return "Fraction";
}
static GCD(a, b) {
if (typeof a !== 'number' || Number.isNaN(a) || typeof b !== 'number' || Number.isNaN(b)) {
throw new RuntimeError('BadArgument', `Invalid numbers: ${a}, ${b}`);
}
let t;
while (b !== 0) {
t = b;
b = a % b;
a = t;
}
return a;
}
static LCM(a, b) {
return (a * b) / Fraction.GCD(a, b);
}
static LCMM(args) {
if (args.length === 0) {
return 0;
}
else if (args.length === 1) {
return args[0];
}
else if (args.length === 2) {
return Fraction.LCM(args[0], args[1]);
}
else {
return Fraction.LCM(args.shift(), Fraction.LCMM(args));
}
}
constructor(numerator, denominator) {
this.numerator = 1;
this.denominator = 1;
this.set(numerator, denominator);
}
set(numerator = 1, denominator = 1) {
this.numerator = numerator;
this.denominator = denominator;
return this;
}
value() {
return this.numerator / this.denominator;
}
simplify() {
let u = this.numerator;
let d = this.denominator;
const gcd = Fraction.GCD(u, d);
u /= gcd;
d /= gcd;
if (d < 0) {
d = -d;
u = -u;
}
return this.set(u, d);
}
add(param1 = 0, param2 = 1) {
const [otherNumerator, otherDenominator] = getNumeratorAndDenominator(param1, param2);
const lcm = Fraction.LCM(this.denominator, otherDenominator);
const a = lcm / this.denominator;
const b = lcm / otherDenominator;
const u = this.numerator * a + otherNumerator * b;
return this.set(u, lcm);
}
subtract(param1 = 0, param2 = 1) {
const [otherNumerator, otherDenominator] = getNumeratorAndDenominator(param1, param2);
const lcm = Fraction.LCM(this.denominator, otherDenominator);
const a = lcm / this.denominator;
const b = lcm / otherDenominator;
const u = this.numerator * a - otherNumerator * b;
return this.set(u, lcm);
}
multiply(param1 = 1, param2 = 1) {
const [otherNumerator, otherDenominator] = getNumeratorAndDenominator(param1, param2);
return this.set(this.numerator * otherNumerator, this.denominator * otherDenominator);
}
divide(param1 = 1, param2 = 1) {
const [otherNumerator, otherDenominator] = getNumeratorAndDenominator(param1, param2);
return this.set(this.numerator * otherDenominator, this.denominator * otherNumerator);
}
equals(compare) {
const a = Fraction.__staticFractionA.copy(compare).simplify();
const b = Fraction.__staticFractionB.copy(this).simplify();
return a.numerator === b.numerator && a.denominator === b.denominator;
}
greaterThan(compare) {
const a = Fraction.__staticFractionB.copy(this);
a.subtract(compare);
return a.numerator > 0;
}
greaterThanEquals(compare) {
const a = Fraction.__staticFractionB.copy(this);
a.subtract(compare);
return a.numerator >= 0;
}
lessThan(compare) {
return !this.greaterThanEquals(compare);
}
lessThanEquals(compare) {
return !this.greaterThan(compare);
}
clone() {
return new Fraction(this.numerator, this.denominator);
}
copy(other) {
if (typeof other === 'number') {
return this.set(other, 1);
}
else {
return this.set(other.numerator, other.denominator);
}
}
quotient() {
return Math.floor(this.numerator / this.denominator);
}
remainder() {
return this.numerator % this.denominator;
}
makeAbs() {
this.denominator = Math.abs(this.denominator);
this.numerator = Math.abs(this.numerator);
return this;
}
toString() {
return `${this.numerator}/${this.denominator}`;
}
toSimplifiedString() {
return Fraction.__staticFractionTmp.copy(this).simplify().toString();
}
toMixedString() {
let s = '';
const q = this.quotient();
const f = Fraction.__staticFractionTmp.copy(this);
if (q < 0) {
f.makeAbs();
}
if (q !== 0) {
s += q;
if (f.numerator !== 0) {
s += ` ${f.toSimplifiedString()}`;
}
}
else if (f.numerator === 0) {
s = '0';
}
else {
s = f.toSimplifiedString();
}
return s;
}
parse(str) {
const i = str.split('/');
const n = parseInt(i[0], 10);
const d = i[1] ? parseInt(i[1], 10) : 1;
return this.set(n, d);
}
}
Fraction.__staticFractionA = new Fraction();
Fraction.__staticFractionB = new Fraction();
Fraction.__staticFractionTmp = new Fraction();
export { Fraction };
function getNumeratorAndDenominator(n, d = 1) {
if (typeof n === 'number') {
return [n, d];
}
else {
return [n.numerator, n.denominator];
}
}