Big.js
很棒,但对我来说太笨重了。
我目前正在使用以下使用 BigInt 的任意精度。仅支持加减乘除。调用set_precision(8);
将精度设置为 8 位小数。
舍入模式为 ROUND_DOWN。
class AssertionError extends Error {
/**
* @param {String|void} message
*/
constructor (message) {
super(message);
this.name = 'AssertionError';
if (Error.captureStackTrace instanceof Function) {
Error.captureStackTrace(this, AssertionError);
}
}
toJSON () {
return { name: this.name, message: this.message, stack: this.stack };
}
/**
* @param {Boolean} value
* @param {String|void} message
*/
static assert (value, message) {
if (typeof value !== 'boolean') {
throw new Error('assert(value, message?), "value" must be a boolean.');
}
if (message !== undefined && typeof message !== 'string') {
throw new Error('assert(value, message?), "message" must be a string.');
}
if (value === false) {
throw new AssertionError(message);
}
}
}
module.exports = AssertionError;
const AssertionError = require('./AssertionError');
let precision = 2;
let precision_multiplier = 10n ** BigInt(precision);
let max_safe_integer = BigInt(Number.MAX_SAFE_INTEGER) * precision_multiplier;
/**
* @param {Number} value
*/
const set_precision = (value) => {
AssertionError.assert(typeof value === 'number');
AssertionError.assert(Number.isFinite(value) === true);
AssertionError.assert(Number.isInteger(value) === true);
AssertionError.assert(value >= 0 === true);
precision = value;
precision_multiplier = 10n ** BigInt(precision);
max_safe_integer = BigInt(Number.MAX_SAFE_INTEGER) * precision_multiplier;
};
/**
* @param {Number} value
*/
const to_bigint = (value) => {
AssertionError.assert(typeof value === 'number');
AssertionError.assert(Number.isFinite(value) === true);
return BigInt(value.toFixed(precision).replace('.', ''));
};
/**
* @param {BigInt} value
* @param {Number} decimal_places
*/
const to_number = (value) => {
AssertionError.assert(typeof value === 'bigint');
AssertionError.assert(value <= max_safe_integer);
const value_string = value.toString().padStart(2 + precision, '0');
const whole = value_string.substring(0, value_string.length - precision);
const decimal = value_string.substring(value_string.length - precision, value_string.length);
const result = Number(`${whole}.${decimal}`);
return result;
};
/**
* @param {Number[]} values
*/
const add = (...values) => to_number(values.reduce((previous, current) => previous === null ? to_bigint(current) : previous + to_bigint(current), null));
const subtract = (...values) => to_number(values.reduce((previous, current) => previous === null ? to_bigint(current) : previous - to_bigint(current), null));
const multiply = (...values) => to_number(values.reduce((previous, current) => previous === null ? to_bigint(current) : (previous * to_bigint(current)) / precision_multiplier, null));
const divide = (...values) => to_number(values.reduce((previous, current) => previous === null ? to_bigint(current) : (previous * precision_multiplier) / to_bigint(current), null));
const arbitrary = { set_precision, add, subtract, multiply, divide };
module.exports = arbitrary;
const arbitrary = require('./arbitrary');
arbitrary.set_precision(2);
const add = arbitrary.add;
const subtract = arbitrary.subtract;
const multiply = arbitrary.multiply;
const divide = arbitrary.divide;
console.log(add(75, 25, 25)); // 125
console.log(subtract(75, 25, 25)); // 25
console.log(multiply(5, 5)); // 25
console.log(add(5, multiply(5, 5))); // 30
console.log(divide(125, 5, 5)); // 5
console.log(divide(1000, 10, 10)); // 10
console.log(divide(1000, 8.86)); // 112.86681715
console.log(add(Number.MAX_SAFE_INTEGER, 0)); // 9007199254740991
console.log(subtract(Number.MAX_SAFE_INTEGER, 1)); // 9007199254740990
console.log(multiply(Number.MAX_SAFE_INTEGER, 0.5)); // 4503599627370495.5
console.log(divide(Number.MAX_SAFE_INTEGER, 2)); // 4503599627370495.5
console.log(multiply(Math.PI, Math.PI)); // 9.86960437
console.log(divide(Math.PI, Math.PI)); // 1
console.log(divide(1, 12)); // 0.08333333
console.log(add(0.1, 0.2)); // 0.3
console.log(multiply(1.500, 1.3)); // 1.95
console.log(multiply(0, 1)); // 0
console.log(multiply(0, -1)); // 0
console.log(multiply(-1, 1)); // -1
console.log(divide(1.500, 1.3)); // 1.15384615
console.log(divide(0, 1)); // 0
console.log(divide(0, -1)); // 0
console.log(divide(-1, 1)); // -1
console.log(multiply(5, 5, 5, 5)); // 625
console.log(multiply(5, 5, 5, 123, 123, 5)); // 9455625