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babel-plugin-transform-bigint
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babel-plugin-transform-bigint - npm Package Compare versions
Comparing version 1.0.7 to 1.0.8
47
index.js
@@ -93,5 +93,9 @@ // see https://github.com/babel/babel/pull/6015 | ||
| if (!canBeBigInt(path.parentPath)) { | ||
| return false; | ||
| //return false; | ||
| } | ||
| } | ||
| } else { | ||
| if (path.node.name === 'undefined') { | ||
| return false; | ||
| } | ||
| } | ||
@@ -118,2 +122,31 @@ return true; | ||
| } | ||
| if (path.node.type === 'CallExpression') { | ||
| if (path.node.callee.type === 'MemberExpression' && | ||
| path.node.callee.object.type === 'Identifier' && | ||
| path.node.callee.object.name === 'Math') { | ||
| return false; | ||
| } | ||
| if (path.node.callee.type === 'Identifier' && | ||
| path.node.callee.name === 'Number') { | ||
| return false; | ||
| } | ||
| } | ||
| if (path.node.type === 'CallExpression') { | ||
| if (path.node.callee.type === 'Identifier') { | ||
| const binding = path.scope.getBinding(path.node.callee.name); | ||
| if (binding != null) { | ||
| if (binding.path.node.type === 'FunctionDeclaration') { | ||
| const statements = binding.path.get('body').get('body'); | ||
| for (const statement of statements) { | ||
| if (statement.type === 'ReturnStatement') { | ||
| if (!canBeBigInt(statement.get('argument'))) { | ||
| //console.log(path.node.callee.name); | ||
| return false; | ||
| } | ||
| } | ||
| } | ||
| } | ||
| } | ||
| } | ||
| } | ||
| //TODO: | ||
@@ -124,2 +157,3 @@ return true; | ||
| const JSBI = 'JSBI'; | ||
| const IMPORT_PATH = './jsbi.mjs'; | ||
@@ -131,3 +165,5 @@ return { | ||
| if (path.node.callee.name === 'Number') { | ||
| path.replaceWith(types.callExpression(types.memberExpression(types.identifier(JSBI), types.identifier('toNumber')), path.node.arguments)); | ||
| if (canBeBigInt(path.get('arguments')[0])) { | ||
| path.replaceWith(types.callExpression(types.memberExpression(types.identifier(JSBI), types.identifier('toNumber')), path.node.arguments)); | ||
| } | ||
| } | ||
@@ -248,2 +284,9 @@ if (path.node.callee.name === 'BigInt') { | ||
| } | ||
| }, | ||
| Program: function (path) { | ||
| // https://stackoverflow.com/a/35994497 | ||
| const identifier = types.identifier(JSBI); | ||
| const importDefaultSpecifier = types.importDefaultSpecifier(identifier); | ||
| const importDeclaration = types.importDeclaration([importDefaultSpecifier], types.stringLiteral(IMPORT_PATH)); | ||
| path.unshiftContainer('body', importDeclaration); | ||
| } | ||
@@ -250,0 +293,0 @@ } |
| { | ||
| "name": "babel-plugin-transform-bigint", | ||
| "version": "1.0.7", | ||
| "version": "1.0.8", | ||
| "description": "A plugin for babel to transform `x * y` into something like `JSBI.multiply(x, y)` to support bigints.", | ||
| "main": "index.js", | ||
| "scripts": { | ||
| "test": "echo \"Error: no test specified\" && exit 1" | ||
| "test": "npx babel --plugins=./index.js tests.js" | ||
| }, | ||
@@ -9,0 +9,0 @@ "author": "", |
695
tests.js
@@ -1,670 +0,41 @@ | ||
| /*jslint bigint: true, vars: true, indent: 2*/ | ||
| // to run the test use a command: `npx babel --plugins=./index.js tests.js` | ||
| // Usage: | ||
| // BigDecimal.BigDecimal(bigint) | ||
| // BigDecimal.BigDecimal(string) | ||
| // BigDecimal.toBigInt(a) (not in the spec) | ||
| // BigDecimal.unaryMinus(a) | ||
| // BigDecimal.add(a, b[, rounding]) | ||
| // BigDecimal.subtract(a, b[, rounding]) | ||
| // BigDecimal.multiply(a, b[, rounding]) | ||
| // BigDecimal.divide(a, b, rounding) | ||
| // BigDecimal.lessThan(a, b) | ||
| // BigDecimal.greaterThan(a, b) | ||
| // BigDecimal.equal(a, b) | ||
| // BigDecimal.round(a, rounding) | ||
| // a.toExponential([fractionDigits]) | ||
| // a.toString() | ||
| // a.toPrecision(fractionDigits) | ||
| // a.toFixed(fractionDigits) | ||
| // Math: (not in the spec) | ||
| // BigDecimal.log(a, rounding) | ||
| // BigDecimal.exp(a, rounding) | ||
| // BigDecimal.sin(a, rounding) | ||
| // BigDecimal.cos(a, rounding) | ||
| // BigDecimal.atan(a, rounding) | ||
| o.x.y += b; | ||
| o.x['y'] += b; | ||
| o.x[y] += b; | ||
| o.x[y + z] += b; | ||
| function BigDecimal(significand, exponent) { | ||
| this.significand = significand; | ||
| this.exponent = exponent; | ||
| } | ||
| BigDecimal.BigDecimal = function (value) { | ||
| if (value instanceof BigDecimal) { | ||
| return value; | ||
| } | ||
| if (typeof value === "string") { | ||
| //throw new TypeError(); | ||
| var match = /^\s*([+\-])?(\d+)?\.?(\d+)?(?:e([+\-]?\d+))?\s*$/.exec(value); | ||
| if (match == null) { | ||
| throw new RangeError(); | ||
| } | ||
| return create(BigInt((match[1] || "") + (match[2] || "") + (match[3] || "")), BigInt(match[4] || "0") - BigInt((match[3] || "").length)); | ||
| } | ||
| return create(BigInt(value), 0n); | ||
| }; | ||
| BigDecimal.toBigInt = function (a) { | ||
| if (a.exponent < 0n && a.significand % 10n**(-a.exponent) !== 0n) { | ||
| throw new RangeError("The bigdecimal " + a.toString() + " cannot be converted to a BigInt because it is not an integer"); | ||
| } | ||
| return a.exponent < 0n ? a.significand / 10n**(-a.exponent) : a.significand * 10n**a.exponent; | ||
| }; | ||
| function create(significand, exponent) { | ||
| return new BigDecimal(significand, exponent); | ||
| } | ||
| function bigIntMax(a, b) { | ||
| return a < b ? b : a; | ||
| } | ||
| function bigIntMin(a, b) { | ||
| return a < b ? a : b; | ||
| } | ||
| function bigIntSign(a) { | ||
| return a < 0n ? -1n : (a > 0n ? 1n : 0n); | ||
| } | ||
| function bigIntAbs(a) { | ||
| return a < 0n ? -a : a; | ||
| } | ||
| function digits(a) { | ||
| function binaryDigits(n) { | ||
| // https://github.com/tc39/proposal-bigint/issues/205 | ||
| var s = n.toString(16); | ||
| var c = s.charCodeAt(0); | ||
| var k = 0; | ||
| if (c <= "1".charCodeAt(0)) { | ||
| k = 1; | ||
| } else if (c <= "3".charCodeAt(0)) { | ||
| k = 2; | ||
| } else if (c <= "7".charCodeAt(0)) { | ||
| k = 3; | ||
| } else { | ||
| k = 4; | ||
| } | ||
| return 4 * (s.length - 1) + k; | ||
| } | ||
| var n = bigIntMax(bigIntAbs(a.significand), 1n); | ||
| var number = Number(n); | ||
| if (number < 2**49) { | ||
| var result = Math.floor(Math.log10(number + 0.5)) + 1; | ||
| //console.assert(Math.pow(10, result) <= number * 10 && number < Math.pow(10, result)); | ||
| return result; | ||
| } | ||
| if (number < 1 / 0) { | ||
| var e = Math.log10(number); | ||
| if (Math.floor(e * (1 + 2 / (Number.MAX_SAFE_INTEGER + 1))) < e) { | ||
| var result = Math.floor(e) + 1; | ||
| //console.assert(10n**BigInt(result) <= n * 10n && n < 10n**BigInt(result)); | ||
| return result; | ||
| } | ||
| } | ||
| var k = binaryDigits(n); | ||
| var log10nApproximation = Math.log10(2) * (k - 50) + Math.log10(Number(n / 2n**BigInt(k - 50))); | ||
| var e = log10nApproximation; | ||
| if (Math.floor(e * (1 - 2**-48)) === Math.floor(e) && | ||
| Math.floor(e * (1 + 2**-48)) === Math.floor(e)) { | ||
| var result = Math.floor(e) + 1; | ||
| //console.assert(10n**BigInt(result) <= n * 10n && n < 10n**BigInt(result)); | ||
| return result; | ||
| } | ||
| e = Math.floor(e + 0.5); | ||
| var g = 10n**BigInt(e); | ||
| if (n >= g) { | ||
| e += 1; | ||
| g *= 10n; | ||
| } | ||
| if (n * 10n < g) { | ||
| g /= 10n; | ||
| e -= 1; | ||
| } | ||
| console.assert(g <= n * 10n && n < g); | ||
| return e; | ||
| } | ||
| function normalize(a) { | ||
| if (a.significand <= -67108864n || a.significand >= 67108864n) { // Math.sqrt((Number.MAX_SAFE_INTEGER + 1) / 2) | ||
| var dividend = a.significand; | ||
| var divisor = 10n**15n; | ||
| var e = 15; | ||
| if (dividend % divisor === 0n) { | ||
| while (dividend % (divisor**2n) === 0n) { | ||
| divisor = divisor**2n; | ||
| e *= 2; | ||
| } | ||
| var quotient = dividend / divisor; | ||
| return create(quotient, a.exponent + BigInt(e)); | ||
| } | ||
| } | ||
| if (a.significand === 0n && a.exponent !== 0n) { | ||
| return create(0n, 0n); | ||
| } | ||
| return a; | ||
| } | ||
| function round(a, d, r, rounding) { | ||
| if (rounding != null) { | ||
| var k = 0n; | ||
| if (rounding.maximumSignificantDigits != null) { | ||
| console.assert(rounding.maximumSignificantDigits > 0); | ||
| k = bigIntMax(BigInt(digits(a) - rounding.maximumSignificantDigits), 0n); | ||
| } | ||
| if (rounding.maximumFractionDigits != null) { | ||
| console.assert(rounding.maximumFractionDigits >= 0); | ||
| k = bigIntMax(0n - (a.exponent + BigInt(rounding.maximumFractionDigits)), 0n); | ||
| } | ||
| if (k > 0n || r !== 0n) { | ||
| var divisor = 10n**k; | ||
| var dividend = a.significand; | ||
| var quotient = dividend / divisor; | ||
| var remainder = dividend - quotient * divisor; | ||
| divisor = divisor * d; | ||
| remainder = remainder * d + r; | ||
| if (remainder !== 0n) { | ||
| if (rounding.roundingMode === "floor") { | ||
| if (remainder < 0n) { | ||
| quotient -= 1n; | ||
| } | ||
| } else if (rounding.roundingMode === "ceil") { | ||
| if (remainder > 0n) { | ||
| quotient += 1n; | ||
| } | ||
| } else if (rounding.roundingMode === "half-up") { | ||
| if (remainder * 2n >= divisor) { | ||
| quotient += 1n; | ||
| } | ||
| if (-remainder * 2n >= divisor) { | ||
| quotient -= 1n; | ||
| } | ||
| } else if (rounding.roundingMode === "half-down") { | ||
| if (remainder * 2n > divisor) { | ||
| quotient += 1n; | ||
| } | ||
| if (-remainder * 2n > divisor) { | ||
| quotient -= 1n; | ||
| } | ||
| } else if (rounding.roundingMode === "half-even") { | ||
| if (remainder * 2n > divisor || (remainder * 2n === divisor && quotient % 2n !== 0n)) { | ||
| quotient += 1n; | ||
| } | ||
| if (-remainder * 2n > divisor || (-remainder * 2n === divisor && quotient % 2n !== 0n)) { | ||
| quotient -= 1n; | ||
| } | ||
| } else { | ||
| throw new RangeError("supported roundingMode (floor/ceil/half-even/half-up/half-down) is not given"); | ||
| } | ||
| } | ||
| return create(quotient, a.exponent + k); | ||
| } | ||
| } | ||
| if (r !== 0n) { | ||
| throw new RangeError("rounding is not given for inexact operation"); | ||
| } | ||
| return a; | ||
| } | ||
| BigDecimal.unaryMinus = function (a) { | ||
| return create(-a.significand, a.exponent); | ||
| }; | ||
| BigDecimal.add = function (a, b, rounding = null) { | ||
| if (b.significand === 0n) { | ||
| return round(a, 1n, 0n, rounding); | ||
| } | ||
| if (a.significand === 0n) { | ||
| return round(b, 1n, 0n, rounding); | ||
| } | ||
| if (rounding != null && rounding.maximumSignificantDigits != null && a.exponent - b.exponent > BigInt(digits(b) + (rounding.maximumSignificantDigits + 1))) { | ||
| b = create(bigIntSign(b.significand), a.exponent - BigInt(rounding.maximumSignificantDigits + 1)); | ||
| } | ||
| if (rounding != null && rounding.maximumSignificantDigits != null && b.exponent - a.exponent > BigInt(digits(a) + (rounding.maximumSignificantDigits + 1))) { | ||
| a = create(bigIntSign(a.significand), b.exponent - BigInt(rounding.maximumSignificantDigits + 1)); | ||
| } | ||
| var exponent = bigIntMax(a.exponent, b.exponent); | ||
| return round(create(a.significand * 10n**(exponent - b.exponent) + b.significand * 10n**(exponent - a.exponent), bigIntMin(a.exponent, b.exponent)), 1n, 0n, rounding); | ||
| }; | ||
| BigDecimal.subtract = function (a, b, rounding = null) { | ||
| return BigDecimal.add(a, BigDecimal.unaryMinus(b), rounding); | ||
| }; | ||
| BigDecimal.multiply = function (a, b, rounding = null) { | ||
| return normalize(round(create(a.significand * b.significand, a.exponent + b.exponent), 1n, 0n, rounding)); | ||
| }; | ||
| BigDecimal.divide = function (a, b, rounding) { | ||
| if (a.significand === 0n) { | ||
| return a; | ||
| } | ||
| var exponent = a.exponent - b.exponent; | ||
| var scaling = 0n; | ||
| if (rounding != null && rounding.maximumSignificantDigits != null) { | ||
| scaling = BigInt(rounding.maximumSignificantDigits + digits(b) - digits(a)); | ||
| } else if (rounding != null && rounding.maximumFractionDigits != null) { | ||
| //scaling = BigInt(rounding.maximumFractionDigits) + bigIntMax(a.exponent, 0n) + bigIntMax(0n - b.exponent, 0n) - bigIntMin(a.exponent - b.exponent + BigInt(digits(a) - digits(b)), 0n); | ||
| scaling = BigInt(rounding.maximumFractionDigits) + exponent; | ||
| } else { | ||
| // Try to do exact division: | ||
| scaling = BigInt(Math.ceil(digits(b) / Math.log10(2) + 1)); | ||
| } | ||
| var dividend = a.significand * (scaling > 0n ? 10n**scaling : 1n); | ||
| var divisor = b.significand * (scaling < 0n ? 10n**(-scaling) : 1n); | ||
| var quotient = dividend / divisor; | ||
| var remainder = dividend - quotient * divisor; | ||
| return round(create(quotient, exponent - scaling), divisor < 0n ? -divisor : divisor, divisor < 0n ? -remainder : remainder, rounding); | ||
| }; | ||
| function lessThan(a, b) { | ||
| if (a.significand <= 0n && b.significand >= 0n) { | ||
| return !(a.significand === 0n && b.significand === 0n); | ||
| } | ||
| if (a.significand >= 0n && b.significand <= 0n) { | ||
| return (a.significand === 0n && b.significand === 0n); | ||
| } | ||
| var differenceOfLogarithms = a.exponent - b.exponent + BigInt(digits(a) - digits(b)); | ||
| if (differenceOfLogarithms !== 0n) { | ||
| return a.significand < 0n && b.significand < 0n ? differenceOfLogarithms > 0n : differenceOfLogarithms < 0n; | ||
| } | ||
| var exponent = bigIntMax(a.exponent, b.exponent); | ||
| return a.significand * 10n**(exponent - b.exponent) < b.significand * 10n**(exponent - a.exponent); | ||
| }; | ||
| BigDecimal.lessThan = function (a, b) { | ||
| return lessThan(a, b); | ||
| }; | ||
| BigDecimal.greaterThan = function (a, b) { | ||
| return lessThan(b, a); | ||
| }; | ||
| BigDecimal.equal = function (a, b) { | ||
| return !lessThan(a, b) && !lessThan(b, a); | ||
| }; | ||
| BigDecimal.round = function (a, rounding) { | ||
| return round(a, 1n, 0n, rounding); | ||
| }; | ||
| ++o.x.y; | ||
| ++o.x['y']; | ||
| ++o.x[y]; | ||
| ++o.x[y + z]; | ||
| function getSignificand(a, log10) { | ||
| var s = BigDecimal.divide(a, exponentiate(BigDecimal.BigDecimal(10n), log10)); | ||
| while (!BigDecimal.equal(BigDecimal.round(s, {maximumFractionDigits: 0, roundingMode: "half-even"}), s)) { | ||
| s = BigDecimal.multiply(s, BigDecimal.BigDecimal(10n**15n)); | ||
| } | ||
| return BigDecimal.toBigInt(s).toString().replace(/0+$/g, "") || "0"; | ||
| }; | ||
| o.x.y++; | ||
| o.x['y']++; | ||
| o.x[y]++; | ||
| o.x[y + z]++; | ||
| BigDecimal.prototype.toExponential = function (fractionDigits) { | ||
| //! https://tc39.es/ecma262/#sec-number.prototype.toexponential | ||
| fractionDigits = fractionDigits == undefined ? undefined : Number(fractionDigits); | ||
| var x = BigDecimal.BigDecimal(this); | ||
| if (fractionDigits != undefined) { | ||
| x = BigDecimal.round(x, {maximumSignificantDigits: fractionDigits + 1, roundingMode: "half-up"}) | ||
| } | ||
| var sign = BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n)) ? "-" : ""; | ||
| var e = BigDecimal.equal(x, BigDecimal.BigDecimal(0n)) ? 0n : getCountOfDigits(x) - 1n; | ||
| var m = getSignificand(BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n)) ? BigDecimal.unaryMinus(x) : x, e + 1n); | ||
| return sign + (fractionDigits == undefined && m.length === 1 || fractionDigits === 0 ? m : m.slice(0, 1) + "." + m.slice(1) + (fractionDigits != undefined ? "0".repeat(fractionDigits - (m.length - 1)) : "")) + "e" + (e >= 0n ? "+" : "") + e.toString(); | ||
| }; | ||
| /* | ||
| BigDecimal.prototype.toString = function () { | ||
| //! https://tc39.es/ecma262/#sec-number.prototype.tostring | ||
| if (arguments.length !== 0) { | ||
| throw new RangeError("not implemented"); | ||
| } | ||
| var x = BigDecimal.BigDecimal(this); | ||
| //! https://tc39.es/ecma262/#sec-numeric-types-number-tostring | ||
| if (BigDecimal.equal(x, BigDecimal.BigDecimal(0n))) { | ||
| return "0"; | ||
| } | ||
| function ToStringPositive(x) { | ||
| var n = getCountOfDigits(x); | ||
| var s = getSignificand(x, n); | ||
| var k = BigInt(s.length); | ||
| if (k <= n && n <= 21n) { | ||
| return s + "0".repeat(Number(n - k)); | ||
| } | ||
| if (0n < n && n <= 21n) { | ||
| return s.slice(0, Number(n)) + "." + s.slice(Number(n)); | ||
| } | ||
| if (-6n < n && n <= 0n) { | ||
| return "0" + "." + "0".repeat(Number(-n)) + s; | ||
| } | ||
| if (k === 1n) { | ||
| return s + "e" + (n - 1n < 0n ? "-" : "+") + bigIntAbs(n - 1n).toString(); | ||
| } | ||
| return s.slice(0, 1) + "." + s.slice(1) + "e" + (n - 1n < 0n ? "-" : "+") + bigIntAbs(n - 1n).toString(); | ||
| } | ||
| return (BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n)) ? "-" + ToStringPositive(BigDecimal.unaryMinus(x)) : ToStringPositive(x)); | ||
| }; | ||
| var _x, _y, _x2, _y2, _x3, _y3, _x4, _y4, _x5, _y5, _x6, _y6, _x7, _y7, _x8, _y8, _x9, _y9, _z, _x10, _y10, _z2, _x11, _y11, _z3, _x12, _y12, _z4; | ||
| BigDecimal.prototype.toPrecision = function (precision) { | ||
| //! https://tc39.es/ecma262/#sec-number.prototype.tostring | ||
| if (precision == undefined) { | ||
| return this.toString(); | ||
| } | ||
| var p = Number(precision); | ||
| var x = BigDecimal.BigDecimal(this); | ||
| var s = ""; | ||
| if (BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n))) { | ||
| x = BigDecimal.unaryMinus(x); | ||
| s = "-"; | ||
| } | ||
| var m = ""; | ||
| var e = 0n; | ||
| if (BigDecimal.equal(x, BigDecimal.BigDecimal(0n))) { | ||
| m = "0".repeat(p); | ||
| e = 0n; | ||
| } else { | ||
| x = BigDecimal.round(x, {maximumSignificantDigits: p, roundingMode: "half-up"}); | ||
| var e = getCountOfDigits(x) - 1n; | ||
| var significand = getSignificand(x, e + 1n); | ||
| m = significand + "0".repeat(p - 1 - (significand.length - 1)); | ||
| } | ||
| if (e < -6n || e >= BigInt(p)) { | ||
| console.assert(e !== 0n); | ||
| if (p !== 1) { | ||
| m = m.slice(0, 1) + "." + m.slice(1); | ||
| } | ||
| return s + m + "e" + (e < 0n ? "-" : "+") + bigIntAbs(e).toString(); | ||
| } | ||
| if (e === BigInt(p - 1)) { | ||
| return s + m; | ||
| } | ||
| if (e >= 0n) { | ||
| m = m.slice(0, Number(e) + 1) + "." + m.slice(Number(e) + 1); | ||
| } else { | ||
| // e >= -6 && e <= -1 | ||
| // e + 1 >= -5 && e + 1 <= 0 | ||
| // -(e + 1) >= 0 && -(e + 1) <= 5 | ||
| m = "0" + "." + "0".repeat(-(Number(e) + 1)) + m; | ||
| } | ||
| return s + m; | ||
| }; | ||
| _x = o.x, _y = "y", _x[_y] = JSBI.add(_x[_y], b); | ||
| _x2 = o.x, _y2 = 'y', _x2[_y2] = JSBI.add(_x2[_y2], b); | ||
| _x3 = o.x, _y3 = y, _x3[_y3] = JSBI.add(_x3[_y3], b); | ||
| _x4 = o.x, _y4 = JSBI.add(y, z), _x4[_y4] = JSBI.add(_x4[_y4], b); | ||
| _x5 = o.x, _y5 = "y", _x5[_y5] = JSBI.add(_x5[_y5], JSBI.BigInt(1)); | ||
| _x6 = o.x, _y6 = 'y', _x6[_y6] = JSBI.add(_x6[_y6], JSBI.BigInt(1)); | ||
| _x7 = o.x, _y7 = y, _x7[_y7] = JSBI.add(_x7[_y7], JSBI.BigInt(1)); | ||
| _x8 = o.x, _y8 = JSBI.add(y, z), _x8[_y8] = JSBI.add(_x8[_y8], JSBI.BigInt(1)); | ||
| _x9 = o.x, _y9 = "y", _z = _x9[_y9], _x9[_y9] = JSBI.add(_z, JSBI.BigInt(1)), _z; | ||
| _x10 = o.x, _y10 = 'y', _z2 = _x10[_y10], _x10[_y10] = JSBI.add(_z2, JSBI.BigInt(1)), _z2; | ||
| _x11 = o.x, _y11 = y, _z3 = _x11[_y11], _x11[_y11] = JSBI.add(_z3, JSBI.BigInt(1)), _z3; | ||
| _x12 = o.x, _y12 = JSBI.add(y, z), _z4 = _x12[_y12], _x12[_y12] = JSBI.add(_z4, JSBI.BigInt(1)), _z4; | ||
| BigDecimal.prototype.toFixed = function (fractionDigits) { | ||
| //! https://tc39.es/ecma262/#sec-number.prototype.tofixed | ||
| var f = Number(fractionDigits || 0); | ||
| var x = BigDecimal.BigDecimal(this); | ||
| var s = ""; | ||
| if (BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n))) { | ||
| x = BigDecimal.unaryMinus(x); | ||
| s = "-"; | ||
| } | ||
| var m = ""; | ||
| if (!BigDecimal.lessThan(x, BigDecimal.BigDecimal(10n**21n))) { | ||
| m = x.toString(); | ||
| } else { | ||
| x = BigDecimal.round(x, {maximumFractionDigits: f, roundingMode: "half-up"}); | ||
| var e = BigDecimal.equal(x, BigDecimal.BigDecimal(0n)) ? 1n : getCountOfDigits(x); | ||
| var significand = getSignificand(x, e); | ||
| var m = significand + "0".repeat(Number(e) - significand.length + f); | ||
| if (f !== 0) { | ||
| var k = m.length; | ||
| if (k <= f) { | ||
| m = "0".repeat(f + 1 - k) + m; | ||
| k = f + 1; | ||
| } | ||
| m = m.slice(0, k - f) + "." + m.slice(k - f); | ||
| } | ||
| } | ||
| return s + m; | ||
| }; | ||
| */ | ||
| function exponentiate(a, n) { | ||
| if (n < 0n) { | ||
| return BigDecimal.divide(BigDecimal.BigDecimal(1n), exponentiate(a, -n)); | ||
| } | ||
| console.assert(n >= 0n); | ||
| var accumulator = BigDecimal.BigDecimal(1n); | ||
| var x = a; | ||
| while (n > 0n) { | ||
| if (n % 2n !== 0n) { | ||
| accumulator = BigDecimal.multiply(accumulator, x); | ||
| n -= 1n; | ||
| } else { | ||
| n /= 2n; | ||
| x = BigDecimal.multiply(x, x); | ||
| } | ||
| } | ||
| return accumulator; | ||
| } | ||
| function getCountOfDigits(a) { // floor(log10(abs(a))) + 1 | ||
| if (a.significand === 0n) { | ||
| throw new RangeError(); | ||
| } | ||
| return BigInt(digits(a)) + a.exponent; | ||
| } | ||
| function abs(a) { | ||
| return BigDecimal.lessThan(a, BigDecimal.BigDecimal(0n)) ? BigDecimal.unaryMinus(a) : a; | ||
| } | ||
| function sign(x) { | ||
| return BigDecimal.BigDecimal(BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n)) ? -1n : (BigDecimal.greaterThan(x, BigDecimal.BigDecimal(0n)) ? 1n : 0n)); | ||
| } | ||
| function significandDigits(a) { | ||
| var maximumSignificantDigits = 1; | ||
| while (!BigDecimal.equal(BigDecimal.round(a, {maximumSignificantDigits: maximumSignificantDigits, roundingMode: "half-even"}), a)) { | ||
| maximumSignificantDigits *= 2; | ||
| } | ||
| return maximumSignificantDigits; | ||
| } | ||
| function tryToMakeCorrectlyRounded(specialValue, f, name) { | ||
| function getExpectedResultIntegerDigits(x) { | ||
| if (name === "exp") { | ||
| // e**x <= 10**k | ||
| // k >= x / log(10) | ||
| return Math.ceil(Number(BigDecimal.toBigInt(BigDecimal.round(x, {maximumFractionDigits: 0, roundingMode: "half-even"}))) / Math.log(10)); | ||
| } | ||
| if (name === "log") { | ||
| // log(x) <= 10**k | ||
| // log10(log10(x)*log(10)) <= k | ||
| return Math.log10(Math.ceil(Math.max(Number(getCountOfDigits(x)), 1) * Math.log(10))); | ||
| } | ||
| return 1; | ||
| } | ||
| // (?) https://en.wikipedia.org/wiki/Rounding#Table-maker's_dilemma | ||
| return function (x, rounding) { | ||
| if (BigDecimal.equal(x, BigDecimal.BigDecimal(specialValue))) { | ||
| return f(x, rounding); | ||
| } | ||
| var result = BigDecimal.BigDecimal(0n); | ||
| var i = 0; | ||
| do { | ||
| i += 1; | ||
| var internalRounding = { | ||
| maximumSignificantDigits: Math.ceil(Math.max(rounding.maximumSignificantDigits || (rounding.maximumFractionDigits + 1 + getExpectedResultIntegerDigits(x) - 1), significandDigits(x)) * Math.cbrt(2)**(i - 1)) + 2, | ||
| roundingMode: "half-even" | ||
| }; | ||
| result = f(x, internalRounding); | ||
| // round(result - error) === round(result + error) | ||
| var error = BigDecimal.divide(abs(result), BigDecimal.BigDecimal(10n**BigInt(internalRounding.maximumSignificantDigits))); | ||
| if (i > 0) { | ||
| //console.log(i, f.name, x + "", result + "", error + "", BigDecimal.round(BigDecimal.subtract(result, error), rounding) + "", BigDecimal.round(BigDecimal.add(result, error), rounding) + ""); | ||
| } | ||
| if (i > 10 && rounding.maximumSignificantDigits != undefined) { | ||
| throw new Error(); | ||
| } | ||
| } while (!BigDecimal.equal(BigDecimal.round(BigDecimal.subtract(result, error), rounding), BigDecimal.round(BigDecimal.add(result, error), rounding))); | ||
| if (i > 1) { | ||
| console.log(i); | ||
| } | ||
| return BigDecimal.round(result, rounding); | ||
| }; | ||
| } | ||
| function sqrt(x, rounding) { | ||
| // from https://en.wikipedia.org/wiki/Square_root#Computation | ||
| var lastResult = x; | ||
| var result = BigDecimal.divide(x, BigDecimal.BigDecimal(2n)); | ||
| while (BigDecimal.lessThan(result, lastResult)) { | ||
| lastResult = result; | ||
| result = BigDecimal.divide(BigDecimal.add(BigDecimal.divide(BigDecimal.BigDecimal(x), result, rounding), result), BigDecimal.BigDecimal(2n), rounding); | ||
| } | ||
| return result; | ||
| } | ||
| BigDecimal.log = tryToMakeCorrectlyRounded(1n, function (x, rounding) { | ||
| if (!BigDecimal.greaterThan(x, BigDecimal.BigDecimal(0n))) { | ||
| throw new RangeError(); | ||
| } | ||
| // https://ru.wikipedia.org/wiki/Логарифм#Разложение_в_ряд_и_вычисление_натурального_логарифма | ||
| var internalRounding = { | ||
| maximumSignificantDigits: rounding.maximumSignificantDigits + Math.ceil(Math.log10(rounding.maximumSignificantDigits)), | ||
| roundingMode: "half-even" | ||
| }; | ||
| if (true) { | ||
| //! ln(f * 10**k) = ln(f) + k * ln(10), where 0.1 <= f <= 10 | ||
| var k = getCountOfDigits(x) - 1n; | ||
| var f = BigDecimal.divide(x, exponentiate(BigDecimal.BigDecimal(10n), k)); | ||
| var ff = BigDecimal.round(BigDecimal.multiply(f, f), {maximumSignificantDigits: 3, roundingMode: "half-even"}); | ||
| if (BigDecimal.greaterThan(ff, BigDecimal.BigDecimal(10n))) { | ||
| k += 1n; | ||
| f = BigDecimal.divide(f, BigDecimal.BigDecimal(10n)); | ||
| } | ||
| if (BigDecimal.lessThan(ff, BigDecimal.divide(BigDecimal.BigDecimal(1n), BigDecimal.BigDecimal(10n)))) { | ||
| k -= 1n; | ||
| f = BigDecimal.multiply(f, BigDecimal.BigDecimal(10n)); | ||
| } | ||
| if (k !== 0n) { | ||
| return BigDecimal.add(BigDecimal.log(f, internalRounding), BigDecimal.multiply(BigDecimal.BigDecimal(2n * k), BigDecimal.log(BigDecimal.BigDecimal(sqrt(BigDecimal.BigDecimal(10n), internalRounding)), internalRounding))); | ||
| } | ||
| } | ||
| //! log(x) = log((1 + g) / (1 - g)) = 2*(g + g**3/3 + g**5/5 + ...) | ||
| var g = BigDecimal.divide(BigDecimal.subtract(x, BigDecimal.BigDecimal(1n)), BigDecimal.add(x, BigDecimal.BigDecimal(1n)), internalRounding); | ||
| var t = BigDecimal.BigDecimal(1n); | ||
| var lastSum = BigDecimal.BigDecimal(42n); | ||
| var s = BigDecimal.BigDecimal(0n); | ||
| var n = 1n; | ||
| while (!BigDecimal.equal(lastSum, s)) { | ||
| lastSum = s; | ||
| s = BigDecimal.add(s, t, internalRounding); | ||
| n += 2n; | ||
| t = BigDecimal.multiply(t, BigDecimal.BigDecimal(n - 2n)); | ||
| t = BigDecimal.multiply(t, BigDecimal.multiply(g, g)); | ||
| t = BigDecimal.divide(t, BigDecimal.BigDecimal(n), internalRounding); | ||
| } | ||
| return BigDecimal.multiply(BigDecimal.multiply(BigDecimal.BigDecimal(2n), g), s); | ||
| }, "log"); | ||
| BigDecimal.exp = tryToMakeCorrectlyRounded(0n, function (x, rounding) { | ||
| //! exp(x) = exp((x / ln(10) - round(x / ln(10)) + round(x / ln(10))) * ln(10)) = exp(x - round(x / ln(10)) * ln(10)) * 10**round(x / ln(10)) | ||
| var k = BigDecimal.divide(x, BigDecimal.BigDecimal(BigDecimal.divide(BigDecimal.BigDecimal(2302585092994046n), BigDecimal.BigDecimal(1000000000000000n))), {maximumFractionDigits: 0, roundingMode: "half-even"}); | ||
| var internalRounding = { | ||
| maximumSignificantDigits: rounding.maximumSignificantDigits + Math.ceil(Math.log10(rounding.maximumSignificantDigits)), | ||
| roundingMode: "half-even" | ||
| }; | ||
| if (!BigDecimal.equal(k, BigDecimal.BigDecimal(0n))) { | ||
| var r = BigDecimal.subtract(x, BigDecimal.multiply(k, BigDecimal.log(BigDecimal.BigDecimal(10n), {maximumSignificantDigits: internalRounding.maximumSignificantDigits + Number(getCountOfDigits(k)), roundingMode: "half-even"}))); | ||
| return BigDecimal.multiply(BigDecimal.exp(r, internalRounding), exponentiate(BigDecimal.BigDecimal(10n), BigDecimal.toBigInt(k))); | ||
| } | ||
| //! https://en.wikipedia.org/wiki/Exponential_function#Computation | ||
| var t = x; | ||
| var lastSum = BigDecimal.BigDecimal(42n); | ||
| var s = BigDecimal.BigDecimal(1n); | ||
| var n = 1n; | ||
| while (!BigDecimal.equal(lastSum, s)) { | ||
| lastSum = s; | ||
| s = BigDecimal.add(s, t, internalRounding); | ||
| n += 1n; | ||
| t = BigDecimal.multiply(t, x); | ||
| t = BigDecimal.divide(t, BigDecimal.BigDecimal(n), internalRounding); | ||
| } | ||
| return s; | ||
| }, "exp"); | ||
| function divideByHalfOfPI(x, rounding) { // x = k*pi/2 + r + 2*pi*n, where |r| < pi/4 | ||
| if (BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n))) { | ||
| throw new RangeError(); | ||
| } | ||
| if (BigDecimal.greaterThan(x, BigDecimal.BigDecimal(String(Math.PI / 4)))) { | ||
| var halfOfPi = BigDecimal.multiply(BigDecimal.BigDecimal(2n), BigDecimal.atan(BigDecimal.BigDecimal(1n), {maximumSignificantDigits: rounding.maximumSignificantDigits + Number(getCountOfDigits(x)), roundingMode: "half-even"})); | ||
| var i = BigDecimal.divide(x, halfOfPi, {maximumFractionDigits: 0, roundingMode: "half-even"}); | ||
| var remainder = BigDecimal.subtract(x, BigDecimal.multiply(i, halfOfPi)); | ||
| return {remainder: remainder, k: (Number(BigDecimal.toBigInt(i) % 4n) + 4) % 4}; | ||
| } | ||
| return {remainder: x, k: 0}; | ||
| } | ||
| BigDecimal.sin = tryToMakeCorrectlyRounded(0n, function (x, rounding) { | ||
| // https://en.wikipedia.org/wiki/Lookup_table#Computing_sines | ||
| var internalRounding = { | ||
| maximumSignificantDigits: rounding.maximumSignificantDigits + Math.ceil(Math.log10(rounding.maximumSignificantDigits)), | ||
| roundingMode: rounding.roundingMode | ||
| }; | ||
| if (BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n))) { | ||
| return BigDecimal.unaryMinus(BigDecimal.sin(BigDecimal.unaryMinus(x), rounding)); | ||
| } | ||
| var tmp = divideByHalfOfPI(x, rounding); | ||
| var a = tmp.remainder; | ||
| var k = tmp.k; | ||
| if (k === 1) { | ||
| return BigDecimal.cos(a, rounding); | ||
| } | ||
| if (k === 2) { | ||
| return BigDecimal.unaryMinus(BigDecimal.sin(a, rounding)); | ||
| } | ||
| if (k === 3) { | ||
| return BigDecimal.unaryMinus(BigDecimal.cos(a, rounding)); | ||
| } | ||
| var term = BigDecimal.BigDecimal(1n); | ||
| var lastSum = BigDecimal.BigDecimal(42n); | ||
| var sum = term; | ||
| var i = 3n; | ||
| while (!BigDecimal.equal(lastSum, sum)) { | ||
| term = BigDecimal.divide(BigDecimal.multiply(term, BigDecimal.multiply(a, a)), BigDecimal.BigDecimal(-i * (i - 1n)), internalRounding); | ||
| lastSum = sum; | ||
| sum = BigDecimal.add(sum, term, internalRounding); | ||
| i += 2n; | ||
| } | ||
| return BigDecimal.multiply(a, sum); | ||
| }); | ||
| BigDecimal.cos = tryToMakeCorrectlyRounded(0n, function (x, rounding) { | ||
| // https://en.wikipedia.org/wiki/Trigonometric_functions#Power_series_expansion | ||
| var internalRounding = { | ||
| maximumSignificantDigits: rounding.maximumSignificantDigits + Math.ceil(Math.log10(rounding.maximumSignificantDigits)), | ||
| roundingMode: rounding.roundingMode | ||
| }; | ||
| if (BigDecimal.lessThan(x, BigDecimal.BigDecimal(0n))) { | ||
| return BigDecimal.cos(BigDecimal.unaryMinus(x), rounding); | ||
| } | ||
| var tmp = divideByHalfOfPI(x, rounding); | ||
| var a = tmp.remainder; | ||
| var k = tmp.k; | ||
| if (k === 1) { | ||
| return BigDecimal.unaryMinus(BigDecimal.sin(a, rounding)); | ||
| } | ||
| if (k === 2) { | ||
| return BigDecimal.unaryMinus(BigDecimal.cos(a, rounding)); | ||
| } | ||
| if (k === 3) { | ||
| return BigDecimal.sin(a, rounding); | ||
| } | ||
| var term = BigDecimal.BigDecimal(1n); | ||
| var lastSum = BigDecimal.BigDecimal(42n); | ||
| var sum = term; | ||
| var i = 2n; | ||
| while (!BigDecimal.equal(lastSum, sum)) { | ||
| term = BigDecimal.divide(BigDecimal.multiply(term, BigDecimal.multiply(a, a)), BigDecimal.BigDecimal(-i * (i - 1n)), internalRounding); | ||
| lastSum = sum; | ||
| sum = BigDecimal.add(sum, term, internalRounding); | ||
| i += 2n; | ||
| } | ||
| return sum; | ||
| }); | ||
| BigDecimal.atan = tryToMakeCorrectlyRounded(0n, function (x, rounding) { | ||
| if (BigDecimal.lessThan(x, BigDecimal.BigDecimal(-1n)) || BigDecimal.greaterThan(x, BigDecimal.BigDecimal(1n))) { | ||
| return BigDecimal.multiply(sign(x), BigDecimal.subtract(BigDecimal.multiply(BigDecimal.atan(BigDecimal.BigDecimal(1n), rounding), BigDecimal.BigDecimal(2n)), BigDecimal.atan(BigDecimal.divide(BigDecimal.BigDecimal(1n), abs(x), {maximumSignificantDigits: rounding.maximumSignificantDigits, roundingMode: "half-even"}), rounding))); | ||
| } | ||
| //! https://en.wikipedia.org/wiki/Inverse_trigonometric_functions#Infinite_series | ||
| var internalRounding = { | ||
| maximumSignificantDigits: rounding.maximumSignificantDigits + Math.ceil(Math.log10(rounding.maximumSignificantDigits)), | ||
| roundingMode: "half-even" | ||
| }; | ||
| var n = 0n; | ||
| var term = BigDecimal.divide(BigDecimal.BigDecimal(1n), BigDecimal.add(BigDecimal.BigDecimal(1n), BigDecimal.multiply(x, x)), internalRounding); | ||
| var sum = term; | ||
| var lastSum = BigDecimal.BigDecimal(42n); | ||
| while (!BigDecimal.equal(lastSum, sum)) { | ||
| n += 1n; | ||
| term = BigDecimal.multiply(term, BigDecimal.BigDecimal(2n**2n)); | ||
| term = BigDecimal.multiply(term, BigDecimal.BigDecimal(n**2n)); | ||
| term = BigDecimal.divide(term, BigDecimal.BigDecimal(BigDecimal.BigDecimal((2n * n) * (2n * n + 1n))), internalRounding); | ||
| term = BigDecimal.multiply(term, BigDecimal.multiply(x, x)); | ||
| term = BigDecimal.divide(term, BigDecimal.add(BigDecimal.BigDecimal(1n), BigDecimal.multiply(x, x)), internalRounding); | ||
| lastSum = sum; | ||
| sum = BigDecimal.add(term, sum, internalRounding); | ||
| } | ||
| return BigDecimal.multiply(x, sum); | ||
| }); | ||
| export default BigDecimal; | ||
| Number('0x12'); | ||
| const bigint = 1n; | ||
| Number(bigint); | ||
| const a = {}; | ||
| a.a === undefined; |
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