@hebcal/hdate/dist/esm/molad.js

converts between Hebrew and Gregorian dates using Rata Die (R.D.) algorithm by Dershowitz and Reingold

/*! @hebcal/hdate v0.14.4, distributed under GPLv2 https://www.gnu.org/licenses/gpl-2.0.txt */
import { monthsInYear } from './hdateBase.js';

/**
 * Calculates the molad for a Hebrew month
 */
function molad(year, month) {
    let m_adj = month - 7;
    if (m_adj < 0) {
        m_adj += monthsInYear(year);
    }
    const mElapsed = 235 * Math.floor((year - 1) / 19) + // Months in complete 19 year lunar (Metonic) cycles so far
        12 * ((year - 1) % 19) + // Regular months in this cycle
        Math.floor((7 * ((year - 1) % 19) + 1) / 19) + // Leap months this cycle
        m_adj; // add elapsed months till the start of the molad of the month
    const pElapsed = 204 + Math.floor(793 * (mElapsed % 1080));
    const hElapsed = 5 +
        12 * mElapsed +
        793 * Math.floor(mElapsed / 1080) +
        Math.floor(pElapsed / 1080) -
        6;
    const parts = (pElapsed % 1080) + 1080 * (hElapsed % 24);
    const chalakim = parts % 1080;
    const day = 1 + 29 * mElapsed + Math.floor(hElapsed / 24);
    return {
        year,
        month,
        dayOfWeek: day % 7,
        hour: hElapsed % 24,
        minutes: Math.floor(chalakim / 18),
        chalakim: chalakim % 18,
    };
}

export { molad };
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