diff --git a/__tests__/JieQi.test.js b/__tests__/JieQi.test.js index fdc1005..529fe88 100644 --- a/__tests__/JieQi.test.js +++ b/__tests__/JieQi.test.js @@ -88,12 +88,12 @@ test('test6', () => { test('test7', () => { const lunar = Lunar.fromYmd(2012, 9, 1); - expect(lunar.getJieQiTable()['白露'].toYmdHms()).toBe('2012-09-07 13:29:00'); + expect(lunar.getJieQiTable()['白露'].toYmdHms()).toBe('2012-09-07 13:29:01'); }); test('test8', () => { const lunar = Lunar.fromYmd(2050, 12, 1); - expect(lunar.getJieQiTable()['DA_XUE'].toYmdHms()).toBe('2050-12-07 06:41:00'); + expect(lunar.getJieQiTable()['DA_XUE'].toYmdHms()).toBe('2050-12-07 06:41:13'); }); test('test9', () => { @@ -103,3 +103,8 @@ test('test9', () => { expect(lunar.getJie()).toBe(''); expect(lunar.getQi()).toBe('冬至'); }); + +test('test10', () => { + const lunar = Lunar.fromYmd(2023, 6, 1); + expect(lunar.getJieQiTable()['冬至'].toYmdHms()).toBe('2022-12-22 05:48:11'); +}); diff --git a/__tests__/Lunar.test.js b/__tests__/Lunar.test.js index ddc31ec..c179f45 100644 --- a/__tests__/Lunar.test.js +++ b/__tests__/Lunar.test.js @@ -640,3 +640,18 @@ test('test068', () => { const lunar = Lunar.fromYmd(345, 1, 1); expect(lunar.getSolar().toString()).toBe('0345-02-18'); }); + +test('test069', () => { + const solar = Solar.fromYmd(917, 12, 1); + expect(solar.getLunar().toString()).toBe('九一七年闰十月十四'); +}); + +test('test070', () => { + const solar = Solar.fromYmd(917, 12, 31); + expect(solar.getLunar().toString()).toBe('九一七年冬月十五'); +}); + +test('test071', () => { + const solar = Solar.fromYmd(918, 1, 1); + expect(solar.getLunar().toString()).toBe('九一七年冬月十六'); +}); diff --git a/__tests__/LunarYear.test.js b/__tests__/LunarYear.test.js index 87ec3ab..edb86d5 100644 --- a/__tests__/LunarYear.test.js +++ b/__tests__/LunarYear.test.js @@ -88,11 +88,6 @@ test('test17', () => { expect(year.getYun()).toBe('八运'); }); -test('test18', () => { - const year = LunarYear.fromYear(2022); - expect(year.getJieQiJulianDays()).toStrictEqual([2459555.7478605337, 2459570.499405936, 2459585.217980813, 2459599.9437018055, 2459614.7018054826, 2459629.5297495862, 2459644.446920318, 2459659.4814200983, 2459674.6389274267, 2459689.9334118855, 2459705.3512322665, 2459720.890569021, 2459736.517794922, 2459752.2178259823, 2459767.9429320656, 2459783.6713957503, 2459799.3534378354, 2459814.969435438, 2459830.480632029, 2459845.8774438635, 2459861.140466851, 2459876.2746654437, 2459891.281458942, 2459906.1807667296, 2459920.9903281447, 2459935.741672728, 2459950.461561025, 2459965.187040542, 2459979.9460747372, 2459994.7736723446, 2460009.6916930582]); -}); - test('test19', () => { const year = LunarYear.fromYear(2021); expect(year.getDayCount()).toBe(354); diff --git a/__tests__/Solar.test.js b/__tests__/Solar.test.js index 721b808..8e4bac7 100644 --- a/__tests__/Solar.test.js +++ b/__tests__/Solar.test.js @@ -29,7 +29,7 @@ test('9', () => { }); test('10', () => { - expect(SolarUtil.isLeapYear(1500)).toBe(false); + expect(SolarUtil.isLeapYear(1500)).toBe(true); }); test('11', () => { diff --git a/lunar.js b/lunar.js index 2a1f1d9..f40af20 100644 --- a/lunar.js +++ b/lunar.js @@ -54,6 +54,10 @@ minute-=60; hour++; } + if(hour>23){ + hour-=24; + day+=1; + } return _fromYmdHms(year,month,day,hour,minute,second); }; var _fromYmdHms = function(y,m,d,hour,minute,second){ @@ -504,6 +508,52 @@ n = 2 - n + Math.floor(n / 4); } return Math.floor(365.25 * (y + 4716)) + Math.floor(30.6001 * (m + 1)) + d + n - 1524.5; + }, + getSalaryRate:function(){ + // 元旦节 + if (this._p.month === 1 && this._p.day === 1) { + return 3; + } + // 劳动节 + if (this._p.month === 5 && this._p.day === 1) { + return 3; + } + // 国庆 + if (this._p.month === 10 && this._p.day >= 1 && this._p.day <= 3) { + return 3; + } + var lunar = this.getLunar(); + // 春节 + if (lunar.getMonth() === 1 && lunar.getDay() >= 1 && lunar.getDay() <= 3) { + return 3; + } + // 端午 + if (lunar.getMonth() === 5 && lunar.getDay() === 5) { + return 3; + } + // 中秋 + if (lunar.getMonth() === 8 && lunar.getDay() === 15) { + return 3; + } + // 清明 + if ('清明' === lunar.getJieQi()) { + return 3; + } + var holiday = HolidayUtil.getHoliday(this._p.year, this._p.month, this._p.day); + if (holiday) { + // 法定假日非上班 + if (!holiday.isWork()) { + return 2; + } + } else { + // 周末 + var week = this.getWeek(); + if (week === 6 || week === 0) { + return 2; + } + } + // 工作日 + return 1; } }; }; @@ -2408,21 +2458,18 @@ var LunarYear = (function(){ var _YUAN = ['下','上','中']; var _YUN = ['七','八','九','一','二','三','四','五','六']; - var _LEAP_11 = [75, 94, 170, 238, 265, 322, 389, 469, 553, 583, 610, 678, 735, 754, 773, 849, 887, 936, 1050, 1069, 1126, 1145, 1164, 1183, 1259, 1278, 1308, 1373, 1403, 1441, 1460, 1498, 1555, 1593, 1612, 1631, 1642, 2033, 2128, 2147, 2242, 2614, 2728, 2910, 3062, 3244, 3339, 3616, 3711, 3730, 3825, 4007, 4159, 4197, 4322, 4341, 4379, 4417, 4531, 4599, 4694, 4713, 4789, 4808, 4971, 5085, 5104, 5161, 5180, 5199, 5294, 5305, 5476, 5677, 5696, 5772, 5791, 5848, 5886, 6049, 6068, 6144, 6163, 6258, 6402, 6440, 6497, 6516, 6630, 6641, 6660, 6679, 6736, 6774, 6850, 6869, 6899, 6918, 6994, 7013, 7032, 7051, 7070, 7089, 7108, 7127, 7146, 7222, 7271, 7290, 7309, 7366, 7385, 7404, 7442, 7461, 7480, 7491, 7499, 7594, 7624, 7643, 7662, 7681, 7719, 7738, 7814, 7863, 7882, 7901, 7939, 7958, 7977, 7996, 8034, 8053, 8072, 8091, 8121, 8159, 8186, 8216, 8235, 8254, 8273, 8311, 8330, 8341, 8349, 8368, 8444, 8463, 8474, 8493, 8531, 8569, 8588, 8626, 8664, 8683, 8694, 8702, 8713, 8721, 8751, 8789, 8808, 8816, 8827, 8846, 8884, 8903, 8922, 8941, 8971, 9036, 9066, 9085, 9104, 9123, 9142, 9161, 9180, 9199, 9218, 9256, 9294, 9313, 9324, 9343, 9362, 9381, 9419, 9438, 9476, 9514, 9533, 9544, 9552, 9563, 9571, 9582, 9601, 9639, 9658, 9666, 9677, 9696, 9734, 9753, 9772, 9791, 9802, 9821, 9886, 9897, 9916, 9935, 9954, 9973, 9992]; + var _LEAP_11 = [75, 94, 170, 265, 322, 398, 469, 553, 583, 610, 678, 735, 754, 773, 849, 887, 936, 1050, 1069, 1126, 1145, 1164, 1183, 1259, 1278, 1308, 1373, 1403, 1441, 1460, 1498, 1555, 1593, 1612, 1631, 1642, 2033, 2128, 2147, 2242, 2614, 2728, 2910, 3062, 3244, 3339, 3616, 3711, 3730, 3825, 4007, 4159, 4197, 4322, 4341, 4379, 4417, 4531, 4599, 4694, 4713, 4789, 4808, 4971, 5085, 5104, 5161, 5180, 5199, 5294, 5305, 5476, 5677, 5696, 5772, 5791, 5848, 5886, 6049, 6068, 6144, 6163, 6258, 6402, 6440, 6497, 6516, 6630, 6641, 6660, 6679, 6736, 6774, 6850, 6869, 6899, 6918, 6994, 7013, 7032, 7051, 7070, 7089, 7108, 7127, 7146, 7222, 7271, 7290, 7309, 7366, 7385, 7404, 7442, 7461, 7480, 7491, 7499, 7594, 7624, 7643, 7662, 7681, 7719, 7738, 7814, 7863, 7882, 7901, 7939, 7958, 7977, 7996, 8034, 8053, 8072, 8091, 8121, 8159, 8186, 8216, 8235, 8254, 8273, 8311, 8330, 8341, 8349, 8368, 8444, 8463, 8474, 8493, 8531, 8569, 8588, 8626, 8664, 8683, 8694, 8702, 8713, 8721, 8751, 8789, 8808, 8816, 8827, 8846, 8884, 8903, 8922, 8941, 8971, 9036, 9066, 9085, 9104, 9123, 9142, 9161, 9180, 9199, 9218, 9256, 9294, 9313, 9324, 9343, 9362, 9381, 9419, 9438, 9476, 9514, 9533, 9544, 9552, 9563, 9571, 9582, 9601, 9639, 9658, 9666, 9677, 9696, 9734, 9753, 9772, 9791, 9802, 9821, 9886, 9897, 9916, 9935, 9954, 9973, 9992]; var _LEAP_12 = [37, 56, 113, 132, 151, 189, 208, 227, 246, 284, 303, 341, 360, 379, 417, 436, 458, 477, 496, 515, 534, 572, 591, 629, 648, 667, 697, 716, 792, 811, 830, 868, 906, 925, 944, 963, 982, 1001, 1020, 1039, 1058, 1088, 1153, 1202, 1221, 1240, 1297, 1335, 1392, 1411, 1422, 1430, 1517, 1525, 1536, 1574, 3358, 3472, 3806, 3988, 4751, 4941, 5066, 5123, 5275, 5343, 5438, 5457, 5495, 5533, 5552, 5715, 5810, 5829, 5905, 5924, 6421, 6535, 6793, 6812, 6888, 6907, 7002, 7184, 7260, 7279, 7374, 7556, 7746, 7757, 7776, 7833, 7852, 7871, 7966, 8015, 8110, 8129, 8148, 8224, 8243, 8338, 8406, 8425, 8482, 8501, 8520, 8558, 8596, 8607, 8615, 8645, 8740, 8778, 8835, 8865, 8930, 8960, 8979, 8998, 9017, 9055, 9074, 9093, 9112, 9150, 9188, 9237, 9275, 9332, 9351, 9370, 9408, 9427, 9446, 9457, 9465, 9495, 9560, 9590, 9628, 9647, 9685, 9715, 9742, 9780, 9810, 9818, 9829, 9848, 9867, 9905, 9924, 9943, 9962, 10000]; - var _LEAP = {}; - var _CACHE = {}; - var _initLeap = function() { - var i; - var j; - for (i = 0, j = _LEAP_11.length; i < j; i++) { - _LEAP['_' + _LEAP_11[i]] = 13; - } - for (i = 0, j = _LEAP_12.length; i < j; i++) { - _LEAP['_' + _LEAP_12[i]] = 14; + var _CACHE_YEAR = null; + var _YMC = [11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]; + var _inLeap = function(arr, n) { + for (var i = 0, j = arr.length; i < j; i++) { + if (arr[i] === n) { + return true; + } } + return false; }; - _initLeap(); var _fromYear = function(lunarYear){ var oy = lunarYear; lunarYear *= 1; @@ -2627,100 +2674,112 @@ _compute:function(){ this._p.months = []; this._p.jieQiJulianDays = []; - // 节气(中午12点)，长度25 + // 节气 var jq = []; - // 合朔，即每月初一(中午12点)，长度16 + // 合朔，即每月初一 var hs = []; // 每月天数，长度15 var dayCounts = []; + var months = []; var i; var j; var currentYear = this._p.year; - var year = currentYear - 2000; - // 从上年的大雪到下年的大寒 + var jd = Math.floor((currentYear - 2000) * 365.2422 + 180); + // 355是2000.12冬至，得到较靠近jd的冬至估计值 + var w = Math.floor((jd - 355 + 183) / 365.2422) * 365.2422 + 355; + if (ShouXingUtil.calcQi(w) > jd) { + w -= 365.2422; + } + // 25个节气时刻(北京时间)，从冬至开始到下一个冬至以后 + for (i = 0; i < 26; i++) { + jq.push(ShouXingUtil.calcQi(w + 15.2184 * i)); + } for (i = 0, j = LunarUtil.JIE_QI_IN_USE.length; i < j; i++) { - // 精确的节气 - var t = 36525 * ShouXingUtil.saLonT((year + (17 + i) * 15.0 / 360) * ShouXingUtil.PI_2); - t += ShouXingUtil.ONE_THIRD - ShouXingUtil.dtT(t); - this._p.jieQiJulianDays.push(t + Solar.J2000); - // 按中午12点算的节气 - if (i > 0 && i < 26) { - jq[i - 1] = Math.round(t); + if (i === 0) { + jd = ShouXingUtil.qiAccurate2(jq[0] - 15.2184); + } else if (i <= 26) { + jd = ShouXingUtil.qiAccurate2(jq[i - 1]); + } else { + jd = ShouXingUtil.qiAccurate2(jq[25] + 15.2184 * (i - 26)); } + this._p.jieQiJulianDays.push(jd + Solar.J2000); } - // 冬至前的初一 - var w = ShouXingUtil.calcShuo(jq[0]); + // 冬至前的初一，今年"首朔"的日月黄经差w + w = ShouXingUtil.calcShuo(jq[0]); if (w > jq[0]) { - if (currentYear !== 41 && currentYear !== 193 && currentYear !== 288 && currentYear !== 345 && currentYear !== 918 && currentYear !== 1013) { - w -= 29.5306; - } + w -= 29.53; } // 递推每月初一 for (i = 0; i < 16; i++) { hs.push(ShouXingUtil.calcShuo(w + 29.5306 * i)); } - // 每月天数 + // 每月 for (i = 0; i < 15; i++) { dayCounts.push(Math.floor(hs[i + 1] - hs[i])); + months.push(i); } var prevYear = currentYear - 1; - var leapYear = -1; - var leapIndex = -1; - - var leap = _LEAP['_' + currentYear]; - if (!leap) { - leap = _LEAP['_' + prevYear]; - if (!leap) { - if (hs[13] <= jq[24]) { - i = 1; - while (hs[i + 1] > jq[2 * i] && i < 13) { - i++; - } - leapYear = currentYear; - leapIndex = i; - } - } else { - leapYear = prevYear; - leapIndex = leap - 12; + var leapIndex = 16; + if (_inLeap(_LEAP_11, currentYear)) { + leapIndex = 13; + } else if (_inLeap(_LEAP_12, currentYear)) { + leapIndex = 14; + } else if (hs[13] <= jq[24]) { + i = 1; + while (hs[i + 1] > jq[2 * i] && i < 13) { + i++; } - } else { - leapYear = currentYear; - leapIndex = leap; + leapIndex = i; } - + for (j = leapIndex; j < 15; j++) { + months[j] -= 1; + } + var fm = -1; + var index = -1; var y = prevYear; - var m = 11; - var index = m; - for (i = 0, j = dayCounts.length; i < j; i++) { - var cm = m; - if (y === leapYear && i === leapIndex) { - cm = -cm; + for (i = 0; i < 15; i++) { + var dm = hs[i] + Solar.J2000; + var v2 = months[i]; + var mc = _YMC[v2 % 12]; + if (1724360 <= dm && dm < 1729794) { + mc = _YMC[(v2 + 1) % 12]; + } else if (1807724 <= dm && dm < 1808699) { + mc = _YMC[(v2 + 1) % 12]; + } else if (dm === 1729794 || dm === 1808699) { + mc = 12; } - this._p.months.push(LunarMonth._(y, cm, dayCounts[i], hs[i] + Solar.J2000, index)); - if (y !== leapYear || i + 1 !== leapIndex) { - m++; + if (fm === -1) { + fm = mc; + index = mc; } - index++; - if (m === 13) { - m = 1; + if (mc < fm) { + y += 1; index = 1; - y++; } + fm = mc; + if (i === leapIndex) { + mc = -mc; + } else if (dm === 1729794 || dm === 1808699) { + mc = -11; + } + this._p.months.push(LunarMonth._(y, mc, dayCounts[i], hs[i] + Solar.J2000, index)); + index++; } return this; } }._compute(); }; var _fromCachedYear = function(lunarYear) { - var key = '_' + lunarYear; - var obj = _CACHE[key]; - if (!obj) { - obj = _fromYear(lunarYear); - _CACHE[key] = obj; + var y; + if (!_CACHE_YEAR || _CACHE_YEAR.getYear() !== lunarYear) { + y = _fromYear(lunarYear); + _CACHE_YEAR = y; + } else { + y = _CACHE_YEAR; } - return obj; + return y; }; return { fromYear:function(lunarYear){return _fromCachedYear(lunarYear);} @@ -2908,22 +2967,318 @@ }; })(); var ShouXingUtil = (function(){ + var _decode = function(s) { + var o = '0000000000'; + var o2 = o + o; + s = s.replace(/J/g, '00'); + s = s.replace(/I/g, '000'); + s = s.replace(/H/g, '0000'); + s = s.replace(/G/g, '00000'); + s = s.replace(/t/g, '02'); + s = s.replace(/s/g, '002'); + s = s.replace(/r/g, '0002'); + s = s.replace(/q/g, '00002'); + s = s.replace(/p/g, '000002'); + s = s.replace(/o/g, '0000002'); + s = s.replace(/n/g, '00000002'); + s = s.replace(/m/g, '000000002'); + s = s.replace(/l/g, '0000000002'); + s = s.replace(/k/g, '01'); + s = s.replace(/j/g, '0101'); + s = s.replace(/i/g, '001'); + s = s.replace(/h/g, '001001'); + s = s.replace(/g/g, '0001'); + s = s.replace(/f/g, '00001'); + s = s.replace(/e/g, '000001'); + s = s.replace(/d/g, '0000001'); + s = s.replace(/c/g, '00000001'); + s = s.replace(/b/g, '000000001'); + s = s.replace(/a/g, '0000000001'); + s = s.replace(/A/g, o2 + o2 + o2); + s = s.replace(/B/g, o2 + o2 + o); + s = s.replace(/C/g, o2 + o2); + s = s.replace(/D/g, o2 + o); + s = s.replace(/E/g, o2); + s = s.replace(/F/g, o); + return s; + }; return { PI_2: 2*Math.PI, ONE_THIRD: 1.0/3, SECOND_PER_DAY: 86400, SECOND_PER_RAD: 648000 / Math.PI, - NUT_B:[2.1824, -33.75705, 36e-6, -1720, 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nutationLon2:function(t){ var a = -1.742 * t; var t2 = t * t; @@ -3087,6 +3442,13 @@ t += (w - this.msaLon(t, -1, 60)) / v; return t; }, + saLonT2:function(w){ + var v = 628.3319653318; + var t = (w - 1.75347 - Math.PI) / v; + t -= (0.000005297 * t * t + 0.0334166 * Math.cos(4.669257 + 628.307585 * t) + 0.0002061 * Math.cos(2.67823 + 628.307585 * t) * t) / v; + t += (w - ShouXingUtil.eLon(t, 8) - Math.PI + (20.5 + 17.2 * Math.sin(2.1824 - 33.75705 * t)) / this.SECOND_PER_RAD) / v; + return t; + }, msaLonT2:function(w){ var t; var l; @@ -3100,6 +3462,15 @@ t += (w - l) / v; return t; }, + qiHigh:function(w){ + var t = this.saLonT2(w) * 36525; + t = t - this.dtT(t) + this.ONE_THIRD; + var v = ((t + 0.5) % 1) * this.SECOND_PER_DAY; + if (v < 1200 || v > this.SECOND_PER_DAY - 1200) { + t = this.saLonT(w) * 36525 - this.dtT(t) + this.ONE_THIRD; + } + return t; + }, shuoHigh:function(w){ var t = this.msaLonT2(w) * 36525; t = t - this.dtT(t) + this.ONE_THIRD; @@ -3109,6 +3480,14 @@ } return t; }, + qiLow:function(w){ + var v = 628.3319653318; + var t = (w - 4.895062166) / v; + t -= (53 * t * t + 334116 * Math.cos(4.67 + 628.307585 * t) + 2061 * Math.cos(2.678 + 628.3076 * t) * t) / v / 10000000; + var n = 48950621.66 + 6283319653.318 * t + 53 * t * t + 334166 * Math.cos(4.669257 + 628.307585 * t) + 3489 * Math.cos(4.6261 + 1256.61517 * t) + 2060.6 * Math.cos(2.67823 + 628.307585 * t) * t - 994 - 834 * Math.sin(2.1824 - 33.75705 * t); + t -= (n / 10000000 - w) / 628.332 + (32 * (t + 1.8) * (t + 1.8) - 20) / this.SECOND_PER_DAY / 36525; + return t * 36525 + this.ONE_THIRD; + }, shuoLow:function(w){ var v = 7771.37714500204; var t = (w + 1.08472) / v; @@ -3147,6 +3526,54 @@ } } return d; + }, + calcQi:function(jd){ + var size = this.QI_KB.length; + var d = 0; + var pc = 7, i; + jd += Solar.J2000; + var f1 = this.QI_KB[0] - pc, f2 = this.QI_KB[size - 1] - pc, f3 = 2436935; + if (jd < f1 || jd >= f3) { + d = Math.floor(this.qiHigh(Math.floor((jd + pc - 2451259) / 365.2422 * 24) * Math.PI / 12) + 0.5); + } else if (jd >= f1 && jd < f2) { + for (i = 0; i < size; i += 2) { + if (jd + pc < this.QI_KB[i + 2]) { + break; + } + } + d = this.QI_KB[i] + this.QI_KB[i + 1] * Math.floor((jd + pc - this.QI_KB[i]) / this.QI_KB[i + 1]); + d = Math.floor(d + 0.5); + if (d === 1683460) { + d++; + } + d -= Solar.J2000; + } else if (jd >= f2 && jd < f3) { + d = Math.floor(this.qiLow(Math.floor((jd + pc - 2451259) / 365.2422 * 24) * Math.PI / 12) + 0.5); + var from = Math.floor((jd - f2) / 365.2422 * 24); + var n = this.QB.substring(from, from + 1); + if ('1' === n) { + d += 1; + } else if ('2' === n) { + d -= 1; + } + } + return d; + }, + qiAccurate:function(w){ + var t = this.saLonT(w) * 36525; + return t - this.dtT(t) + this.ONE_THIRD; + }, + qiAccurate2:function(jd){ + var d = Math.PI / 12; + var w = Math.floor((jd + 293) / 365.2422 * 24) * d; + var a = this.qiAccurate(w); + if (a - jd > 5) { + return this.qiAccurate(w - d); + } + if (a - jd < -5) { + return this.qiAccurate(w + d); + } + return a; } }; })(); @@ -3314,7 +3741,12 @@ '12-26':['毛泽东诞辰纪念日'] }, WEEK_FESTIVAL:{'3-0-1':'全国中小学生安全教育日','5-2-0':'母亲节','5-3-0':'全国助残日','6-3-0':'父亲节','9-3-6':'全民国防教育日','10-1-1':'世界住房日','11-4-4':'感恩节'}, - isLeapYear:function(year){return (year % 4 === 0 && year % 100 !== 0) || (year % 400 === 0);}, + isLeapYear:function(year){ + if (year < 1600) { + return year % 4 === 0; + } + return (year % 4 === 0 && year % 100 !== 0) || (year % 400 === 0); + }, getDaysOfMonth:function(year, month){ var oy = year; var om = month; diff --git a/package.json b/package.json index de6c5be..5193634 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "lunar-javascript", - "version": "1.6.2", + "version": "1.6.3", "description": "lunar is a calendar library for Solar and Chinese Lunar.", "main": "index.js", "scripts": {