function continuedFraction(n, iterations, maxNumberOfIterations, result) {
var nIntegerPart = math.floor(n);
var nFractionalPart = math.chain(n).subtract(nIntegerPart).done();
result.push(nIntegerPart);
if (math.equal(nFractionalPart, 0) || iterations >= maxNumberOfIterations) {
return result;
} else {
var reciprocal = math.chain(1).divide(nFractionalPart).done();
// console.log(nIntegerPart, nFractionalPart, reciprocal);
return continuedFraction(reciprocal, iterations+1, maxNumberOfIterations, result);
}
}
console.log(math.nthRoot(27,3)); //指定開幾次根號
console.log(math.exp(2)); //指數
console.log(math.log(1024,2)); //對數
console.log(math.log10(1000)); //固定10為底對數
console.log(math.gcd(25,15,-10)); //最大公因數
console.log(math.lcm(6,21,5)); //最小公倍數
console.log(math.unit('5 cm').value); //以公尺為單位顯示大小
console.log(math.unit('5 m').value); //以公尺為單位顯示大小
console.log(math.dotMultiply([3,2],[5,7])); //矩陣乘法
console.log(math.dotDivide([9,8],[3,2])); //矩陣除法
console.log(math.dotPow([[1,2],[3,4]],2)); //矩陣乘冪
console.log('---------------------------------------');
//關係運算
console.log(math.compare(2,[1,2,3])); //比較大小(大:1,小:-1,等於:0)
console.log(math.equal(2+1,[1,2,3])); //判斷是否相等(相等:true,不等:false)
console.log(math.unequal(2+1,[1,2,3])); //判斷是否不等(相等:false,不等true)
console.log(math.larger(2,[1,2,3])); //判斷是否大於
console.log(math.largerEq(2,[1,2,3])); //判斷是否大於等於
console.log(math.smaller(2,3)); //判斷是否小於
console.log(math.smallerEq(2,[1,2,3])); //判斷是否小於等於
console.log('---------------------------------------');
//統計運算
console.log(math.sum(2,1,4,3)); //總和
console.log(math.sum([[2,5],[4,3],[1,7]])); //矩陣總和
console.log(math.max(2,1,4,3)); //取最大值
console.log(math.max([[2,5],[4,3],[1,7]])); //矩陣取最大值
console.log(math.min(2,1,4,3)); //取最小值
console.log(math.min([[2,5],[4,3],[1,7]])); //矩陣取最小值
console.log(math.mean(2,1,4,3)); //取平均值
let mathjs = require('mathjs');
mathjs.config({number: 'Fraction'});
module.exports = {
readNumber(text) {
return mathjs.fraction(text);
},
writeNumber(number) {
return mathjs.format(number, {fraction: 'decimal', notation: 'fixed'});
},
isNumberEqual(x, y, ...rest) {
for (let n of [y, ...rest]) {
if (!mathjs.equal(x, n)) {
return false;
}
}
return true;
},
divide(x, y, ...rest) {
return [x, y, ...rest].reduce(
(result, value) => mathjs.divide(result, value));
},
multiply(x, y, ...rest) {
return mathjs.multiply(x, y, ...rest);
},