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@yaffle/bigdecimal

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@yaffle/bigdecimal - npm Package Compare versions

Comparing version 1.0.25 to 1.0.26

36

BigDecimal.js

@@ -33,3 +33,2 @@ /*jslint bigint: true, vars: true, indent: 2*/

// BigDecimal.sqrt(a, rounding)
// BigDecimal.cbrt(a, rounding)
// "simple" Math functions:

@@ -701,3 +700,3 @@ // BigDecimal.abs(a)

const internalRounding = {
maximumSignificantDigits: Math.ceil(Math.max(rounding.maximumSignificantDigits || (rounding.maximumFractionDigits + 1 + getExpectedResultIntegerDigits(x) - 1), significandDigits(x)) * Math.cbrt(2**(i - 1))) + 2 + (BASE === 2 ? 1 : 0),
maximumSignificantDigits: Math.ceil(Math.max(rounding.maximumSignificantDigits || (rounding.maximumFractionDigits + 1 + getExpectedResultIntegerDigits(x) - 1), significandDigits(x)) * Math.pow(2, Math.ceil((i - 1) / 3))) + 2 + (BASE === 2 ? 1 : 0),
roundingMode: "half-even"

@@ -914,10 +913,5 @@ };

function nthRoot(x, n, rounding) {
const exponentiateX = function (x, n) {
return n === 1 ? x : (n % 2 === 0 ? exponentiateX(BigDecimal.multiply(x, x), n / 2) : BigDecimal.multiply(x, exponentiate(x, n - 1)));
};
BigDecimal.sqrt = function (x, rounding) {
if (BigDecimal.lessThan(x, BigDecimal.BigDecimal(0))) {
if (n % 2 === 0) {
throw new RangeError();
}
throw new RangeError();
}

@@ -928,15 +922,15 @@ if (BigDecimal.equal(x, BigDecimal.BigDecimal(0))) {

// https://en.wikipedia.org/wiki/Nth_root#Using_Newton's_method
const e = getCountOfDigits(x) / BigInt(n);
const e = getCountOfDigits(x) / 2n;
const t = exponentiate(BASE, e);
const y = BigDecimal.multiply(x, exponentiate(BASE, -(BigInt(n) * e)));
const y = BigDecimal.multiply(x, exponentiate(BASE, -(2n * e)));
const k = Math.floor(Math.log2(Number.MAX_SAFE_INTEGER + 1) / Math.log2(BASE)) - 1;
const xn = BigDecimal.toNumber(BigDecimal.round(BigDecimal.multiply(y, exponentiate(BASE, k)), {maximumFractionDigits: 0, roundingMode: "half-even"})) / BASE**k;
const r = n === 2 ? Math.sqrt(xn) : (n === 3 ? Math.cbrt(xn) : Math.exp(Math.log(xn) / n));
const resultSignificantDigits = 8 * (rounding.maximumSignificantDigits || (rounding.maximumFractionDigits + Math.ceil(significandDigits(x) / n)) || 1);
const r = Math.sqrt(xn);
//TODO: fix
const resultSignificantDigits = 2 * (rounding.maximumSignificantDigits || (rounding.maximumFractionDigits + Math.ceil(significandDigits(x) / 2)) || 1);
let result = BigDecimal.multiply(BigDecimal.BigDecimal(Math.sign(r) * Math.floor(Math.abs(r) * BASE**k + 0.5)), exponentiate(BASE, -k));
const iteration = function (result, rounding) {
const resultInNm1 = exponentiateX(result, n - 1);
return BigDecimal.divide(BigDecimal.add(y, BigDecimal.multiply(BigDecimal.BigDecimal(n - 1), BigDecimal.multiply(result, resultInNm1))), BigDecimal.multiply(BigDecimal.BigDecimal(n), resultInNm1), rounding);
const iteration = function (result, internalRounding) {
return BigDecimal.divide(BigDecimal.add(y, BigDecimal.multiply(result, result)), BigDecimal.multiply(BigDecimal.BigDecimal(2), result), internalRounding);
};
for (let i = Math.max(k - (n - 1), 1); i < resultSignificantDigits; i *= 2) {
for (let i = Math.max(k - 1, 1); i <= resultSignificantDigits; i *= 2) {
const internalRounding = {maximumSignificantDigits: i, roundingMode: "half-even"};

@@ -947,12 +941,4 @@ result = iteration(result, internalRounding);

return BigDecimal.multiply(result, t);
}
BigDecimal.sqrt = function (x, rounding) {
return nthRoot(x, 2, rounding);
};
BigDecimal.cbrt = function (x, rounding) {
return nthRoot(x, 3, rounding);
};
return BigDecimal;

@@ -959,0 +945,0 @@ };

{
"name": "@yaffle/bigdecimal",
"version": "1.0.25",
"version": "1.0.26",
"description": "Arbitrary precision decimal arithmetic library. Polyfill for decimal proposal. Implemented on the top of BigInt.",

@@ -5,0 +5,0 @@ "main": "BigDecimal.js",

@@ -53,3 +53,2 @@ # BigDecimal

BigDecimal.sqrt(a, rounding)
BigDecimal.cbrt(a, rounding)

@@ -56,0 +55,0 @@ The `rounding` argument may look like `{maximumFractionDigits: 10, roundingMode: "half-even"}` or `{maximumSignificantDigits: 10, roundingMode: "half-even"}`,

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