From f7386e0717862ccb9d18d19b76b3cac4344d2d20 Mon Sep 17 00:00:00 2001 From: jesse-ux Date: Tue, 15 Sep 2026 16:33:31 +0800 Subject: [PATCH] fix(qizheng): pin vendor bytes to local a911c890 checkout Re-copy LICENSE/README/package.json/cli.cjs from the local yinduzhanxing snapshot. Drop dist/index.cjs that was assembled from npm. Do not include 6c27aab6 or 8bba9cb5. --- BLOCKED.md | 2 +- NOTICE | 16 +- .../PROGRESS-qizheng-native-chart-20260915.md | 2 +- scripts/qizheng_chart_engine.py | 41 +- tests/test_qizheng_chart_engine.py | 22 +- vendor/stem-branch/dist/index.cjs | 46608 ---------------- 6 files changed, 19 insertions(+), 46672 deletions(-) delete mode 100644 vendor/stem-branch/dist/index.cjs diff --git a/BLOCKED.md b/BLOCKED.md index 335d9c06..2adcd2c8 100644 --- a/BLOCKED.md +++ b/BLOCKED.md @@ -4,7 +4,7 @@ - **无 Docker：** 本机 `docker` 不在 PATH。无法构建 `deploy/railway-api.Dockerfile`，也无法在容器内跑 `node --version` 或断言 `Path('/app/vendor/stem-branch/dist/cli.cjs').exists()`。**不得把镜像构建或容器内验证写成通过。** Dockerfile 已按任务加上 `nodejs` 运行时与 `COPY vendor ./vendor`，待有 Docker 的环境验证。 - **替代证据（宿主机）：** `node --version` = `v22.23.2`。vendored `dist/cli.cjs` 45,963 行 / 2,682,464 字节，与任务书 45,963 行 / 2.68 MB 一致。用任务书虚构资料 `1990-04-09T13:24:00+08:00 / 31.19N 121.44E` 实跑 `getSevenGovernorsChart`：11 曜、12 宫、命宫星宿·午宫、太阳宿度 177.94 奎 7.44°、相位 27、神煞 0。 -- **上游 Git 仓不再从 GitHub 拉。** 本机目录 `G:\Ferti\yinduzhanxing-codex-add-birth-time-rectification-skill` 即任务书 `/workspace/yinduzhanxing`（分支 `codex/add-birth-time-rectification-skill` / `a911c890`）。任务书列出的 `vendor/stem-branch/{LICENSE,README.md,package.json,dist/cli.cjs}` 已按内容拷贝到本 worktree 同名路径，运行时只读仓库内相对路径。`scripts/qizheng_chart_engine.py` 以上游 168 行适配器为起点，按任务 2 改了派别参数、boundary、坐标系和错误路径。CLI 不暴露 `ketuMode`/`siderealMode`，默认走 `cli.cjs`，覆盖派别时用同包 `dist/index.cjs`。 +- **上游以本机目录为准，不从 GitHub 拉，也不带同分支 `6c27aab6` / `8bba9cb5`。** `G:\Ferti\yinduzhanxing-codex-add-birth-time-rectification-skill` = 任务书 `/workspace/yinduzhanxing` @ `a911c890`。`vendor/stem-branch/{LICENSE,README.md,package.json,dist/cli.cjs}` 已与该目录逐字节核对（LICENSE Apache-2.0，Copyright 2026 Albert Hui）。先前从 npm 另凑的 `dist/index.cjs` 已删除，vendor 树与该快照一致。CLI 无 `ketuMode` 旗标，请求里的派别会回写，`engine_ketu_mode` 以 CLI 实际输出为准。 - **本机无仓库 `.venv` 目录：** 主仓 `.venv` 是指向 `/workspace/Jyotisha/.venv` 的 git symlink，Windows 检出为 25 字节指针文件。测试与预检使用 Anaconda Python 3.11.7（已有 `pytest` 与 `pyswisseph`）。`timezonefinder` 仍缺，与既有 BLOCKED 条目一致。 ## 只读星盘页（2026-09-15，分支 `codex/chart-page-20260915`） diff --git a/NOTICE b/NOTICE index 69fdbc84..e2ec67de 100644 --- a/NOTICE +++ b/NOTICE @@ -7,18 +7,16 @@ This product includes @4n6h4x0r/stem-branch 0.8.0 (Apache License 2.0). Upstream: https://github.com/h4x0r/stem-branch npm: https://www.npmjs.com/package/@4n6h4x0r/stem-branch -The following files were copied from the local upstream checkout -`yinduzhanxing` branch `codex/add-birth-time-rectification-skill` -(commit a911c890), same paths, unmodified: +The following files were copied unmodified from the local upstream +checkout of yinduzhanxing @ a911c890 (branch +codex/add-birth-time-rectification-skill). That snapshot is the source +of truth for bytes and LICENSE. Commits 6c27aab6 and 8bba9cb5 on the +same branch are out of scope and were not copied. vendor/stem-branch/LICENSE vendor/stem-branch/README.md vendor/stem-branch/package.json vendor/stem-branch/dist/cli.cjs -index.cjs is the same 0.8.0 library entry. The published CLI does not -expose ketuMode / siderealMode flags; that file is kept so request-level -school parameters can actually change the chart. - -Jyotisha does not modify the vendored files. This NOTICE is the attribution -required by Apache-2.0 §4. +Jyotisha does not modify the vendored files. This NOTICE is the +attribution required by Apache-2.0 §4. diff --git a/docs/tasks/PROGRESS-qizheng-native-chart-20260915.md b/docs/tasks/PROGRESS-qizheng-native-chart-20260915.md index 83a767f7..03313061 100644 --- a/docs/tasks/PROGRESS-qizheng-native-chart-20260915.md +++ b/docs/tasks/PROGRESS-qizheng-native-chart-20260915.md @@ -17,7 +17,7 @@ ## 任务 1 · vendored 归档与镜像 Node - 上游不从 GitHub 拉。本机 `G:\Ferti\yinduzhanxing-codex-add-birth-time-rectification-skill` = 任务书 `/workspace/yinduzhanxing`（`a911c890`）。已按内容拷贝 `vendor/stem-branch/{LICENSE,README.md,package.json,dist/cli.cjs}` 到本仓同名路径。`cli.cjs` **45,963 行 / 2,682,464 B**，sha256 前缀 `cf1bca10507ffcc9`，与上游文件逐字节相同。 -- `scripts/qizheng_chart_engine.py` 以上游 168 行适配器为起点（`calculate_qizheng_chart` + CLI `--seven-governors --json`），再按任务 2 改派别参数、boundary、坐标系和错误路径。默认走 `cli.cjs`；覆盖 `ketu_mode` / `sidereal_mode` 时用同包 `dist/index.cjs`（CLI 无对应旗标）。 +- `scripts/qizheng_chart_engine.py` 以上游 168 行适配器为起点（`calculate_qizheng_chart` + CLI `--seven-governors --json`），再按任务 2 改派别参数、boundary、坐标系和错误路径。vendor 以本机 `a911c890` 目录为准，已删除从 npm 另凑的 `dist/index.cjs`。未带 `6c27aab6` / `8bba9cb5`。CLI 无 ketuMode 旗标：请求派别回写 `calculation.ketu_mode`，实际盘面以 `engine_ketu_mode` 为准。 - 仓库根 `NOTICE`：包名、0.8.0、Apache-2.0、上游地址、取入方式。 - `deploy/railway-api.Dockerfile`：`nodejs` 运行时（不装 npm/构建链），`COPY vendor ./vendor`。 - `deploy/gated-paths.txt`：新增 `vendor/**`。 diff --git a/scripts/qizheng_chart_engine.py b/scripts/qizheng_chart_engine.py index dac7d43d..b1502057 100644 --- a/scripts/qizheng_chart_engine.py +++ b/scripts/qizheng_chart_engine.py @@ -20,7 +20,6 @@ from typing import Any REPO_ROOT = Path(__file__).resolve().parents[1] VENDORED_CLI = REPO_ROOT / "vendor" / "stem-branch" / "dist" / "cli.cjs" -VENDORED_LIB = REPO_ROOT / "vendor" / "stem-branch" / "dist" / "index.cjs" DEFAULT_TIMEOUT_SECONDS = 20 COORDINATE_SYSTEM = "qizheng_mansion_degrees_from_jiao" DEFAULT_KETU_MODE = "apogee" @@ -48,17 +47,6 @@ BOUNDARY = ( "庙旺判定未闭合（十一体×十二宫共 132 格仅 9 格有直接证据，" "runtime_promotable_count = 0），不得进入解读、报告或咨询结论。" ) -_NODE_EVAL = ( - "const fs=require('fs');" - "const payload=JSON.parse(fs.readFileSync(0,'utf8'));" - "const lib=require(payload.library);" - "const chart=lib.getSevenGovernorsChart(" - "new Date(payload.iso)," - "{lat:payload.lat,lon:payload.lon}," - "{ketuMode:payload.ketuMode,siderealMode:payload.siderealMode}" - ");" - "process.stdout.write(JSON.stringify({sevenGovernors:chart}));" -) class QizhengChartError(ValueError): @@ -196,33 +184,10 @@ def _run_cli(iso: str, lat: float, lon: float, timeout_seconds: int) -> dict[str ] if FORBIDDEN_CLI_FLAGS.intersection(command): raise QizhengChartError("forbidden engine subcommand blocked", error_code="ERR_QIZHENG_ENGINE") - return _run_node(command, timeout_seconds=timeout_seconds) - - -def _run_library(iso: str, lat: float, lon: float, ketu_mode: str, sidereal_mode: dict[str, Any], timeout_seconds: int) -> dict[str, Any]: - if not VENDORED_LIB.is_file(): - raise QizhengChartError("vendored 七政四余 library is unavailable", error_code="ERR_QIZHENG_CLI_MISSING") - payload = { - "library": os.fspath(VENDORED_LIB), - "iso": iso, - "lat": lat, - "lon": lon, - "ketuMode": ketu_mode, - "siderealMode": sidereal_mode, - } - return _run_node( - [_node_bin(), "-e", _NODE_EVAL], - timeout_seconds=timeout_seconds, - stdin=json.dumps(payload, ensure_ascii=False), - ) - - -def _run_node(command: list[str], *, timeout_seconds: int, stdin: str | None = None) -> dict[str, Any]: try: completed = subprocess.run( command, cwd=str(REPO_ROOT), - input=stdin, check=False, capture_output=True, text=True, @@ -320,11 +285,7 @@ def calculate_qizheng_chart(body: dict[str, Any], *, timeout_seconds: int = DEFA iso = _iso_local(body) ketu_mode = _ketu_mode(body) sidereal_mode = _sidereal_mode(body) - uses_defaults = ketu_mode == DEFAULT_KETU_MODE and sidereal_mode == DEFAULT_SIDEREAL_MODE - if uses_defaults: - raw = _run_cli(iso, lat, lon, timeout_seconds) - else: - raw = _run_library(iso, lat, lon, ketu_mode, sidereal_mode, timeout_seconds) + raw = _run_cli(iso, lat, lon, timeout_seconds) return _normalize(raw, {**body, "lat": lat, "lon": lon}, ketu_mode=ketu_mode, sidereal_mode=sidereal_mode, iso=iso) diff --git a/tests/test_qizheng_chart_engine.py b/tests/test_qizheng_chart_engine.py index c33784a1..25c99b85 100644 --- a/tests/test_qizheng_chart_engine.py +++ b/tests/test_qizheng_chart_engine.py @@ -69,15 +69,12 @@ def test_live_chart_matches_golden_and_product_contract() -> None: assert "\\" not in raw or "[redacted-path]" in raw -def test_ketu_mode_request_overrides_and_is_echoed() -> None: +def test_ketu_mode_request_is_echoed_and_engine_mode_is_visible() -> None: _require_node() result = calculate_qizheng_chart({**SAMPLE, "ketu_mode": "descending-node"}) assert result["calculation"]["ketu_mode"] == "descending-node" - assert result["calculation"]["engine_ketu_mode"] == "descending-node" - rahu = result["bodies"]["rahu"]["siderealLon"] - ketu = result["bodies"]["ketu"]["siderealLon"] - separation = abs((ketu - rahu) % 360) - assert min(separation, 360 - separation) > 170 + # a911c890 CLI has no ketuMode flag; actual school is the engine default. + assert result["calculation"]["engine_ketu_mode"] == "apogee" def test_missing_lat_is_structured_input_error() -> None: @@ -95,7 +92,6 @@ def test_node_missing_error(monkeypatch) -> None: def test_cli_missing_error(monkeypatch, tmp_path: Path) -> None: monkeypatch.setattr(engine, "VENDORED_CLI", tmp_path / "cli.cjs") - monkeypatch.setattr(engine, "VENDORED_LIB", tmp_path / "index.cjs") monkeypatch.setattr(engine.shutil, "which", lambda name: "node") with pytest.raises(engine.QizhengChartError, match="unavailable") as caught: calculate_qizheng_chart(SAMPLE) @@ -143,9 +139,9 @@ def test_non_json_stdout_error(monkeypatch) -> None: def test_source_never_invokes_forbidden_cli_flags() -> None: - assert "--pillars" not in engine._NODE_EVAL - assert "--luck" not in engine._NODE_EVAL - assert "--seven-governors" not in engine._NODE_EVAL - assert "getSevenGovernorsChart" in engine._NODE_EVAL - argv = ["node", "-e", engine._NODE_EVAL] - assert not engine.FORBIDDEN_CLI_FLAGS.intersection(argv) + source = Path(engine.__file__).read_text(encoding="utf-8") + assert "--seven-governors" in source + assert "--json" in source + command_block = source.split("command = [", 1)[1].split("]", 1)[0] + for flag in engine.FORBIDDEN_CLI_FLAGS: + assert flag not in command_block diff --git a/vendor/stem-branch/dist/index.cjs b/vendor/stem-branch/dist/index.cjs deleted file mode 100644 index d1fed69f..00000000 --- a/vendor/stem-branch/dist/index.cjs +++ /dev/null @@ -1,46608 +0,0 @@ -"use strict"; -var __defProp = Object.defineProperty; -var __getOwnPropDesc = Object.getOwnPropertyDescriptor; -var __getOwnPropNames = Object.getOwnPropertyNames; -var __hasOwnProp = Object.prototype.hasOwnProperty; -var __export = (target, all) => { - for (var name in all) - __defProp(target, name, { get: all[name], enumerable: true }); -}; -var __copyProps = (to, from, except, desc) => { - if (from && typeof from === "object" || typeof from === "function") { - for (let key of __getOwnPropNames(from)) - if (!__hasOwnProp.call(to, key) && key !== except) - __defProp(to, key, { get: () => from[key], enumerable: !(desc = __getOwnPropDesc(from, key)) || desc.enumerable }); - } - return to; -}; -var __toCommonJS = (mod) => __copyProps(__defProp({}, "__esModule", { value: true }), mod); - -// src/index.ts -var index_exports = {}; -__export(index_exports, { - ALMANAC_FLAG_REGISTRY: () => ALMANAC_FLAG_REGISTRY, - AVERAGE_SPEEDS: () => AVERAGE_SPEEDS, - BRANCHES: () => BRANCHES, - BRANCH_ELEMENT: () => BRANCH_ELEMENT, - CITIES: () => CITIES, - CITY_REGIONS: () => CITY_REGIONS, - CLASH_PAIRS: () => CLASH_PAIRS, - CONQUERING_CYCLE: () => CONQUERING_CYCLE, - CYCLE_ELEMENTS: () => CYCLE_ELEMENTS, - DAY_FITNESS_AUSPICIOUS: () => DAY_FITNESS_AUSPICIOUS, - DAY_FITNESS_CYCLE: () => DAY_FITNESS_CYCLE, - DEG_TO_RAD: () => DEG_TO_RAD, - DESTRUCTION_PAIRS: () => DESTRUCTION_PAIRS, - DUTY_DEITIES: () => DUTY_DEITIES, - EARTH_BRANCHES: () => EARTH_BRANCHES, - ECLIPSE_DATA_RANGE: () => ECLIPSE_DATA_RANGE, - EIGHT_DEITIES: () => EIGHT_DEITIES, - EIGHT_DOORS: () => EIGHT_DOORS, - ELEMENT_ORDER: () => ELEMENT_ORDER, - FLYING_STARS: () => FLYING_STARS, - GENERATIVE_CYCLE: () => GENERATIVE_CYCLE, - HALF_HARMONIES: () => HALF_HARMONIES, - HARMONY_PAIRS: () => HARMONY_PAIRS, - HARM_PAIRS: () => HARM_PAIRS, - HEAVENLY_GENERALS: () => HEAVENLY_GENERALS, - HIDDEN_HARMONY_PAIRS: () => HIDDEN_HARMONY_PAIRS, - HIDDEN_STEMS: () => HIDDEN_STEMS, - LUNAR_MANSIONS: () => LUNAR_MANSIONS, - MAJOR_STARS: () => MAJOR_STARS, - MONTH_BOUNDARY_INDICES: () => MONTH_BOUNDARY_INDICES, - NINE_STARS: () => NINE_STARS, - PALACE_NAMES: () => PALACE_NAMES, - PUNISHMENT_GROUPS: () => PUNISHMENT_GROUPS, - RAD_TO_DEG: () => RAD_TO_DEG, - SALARY_STAR: () => SALARY_STAR, - SAN_QI_LIU_YI: () => SAN_QI_LIU_YI, - SEASONAL_UNIONS: () => SEASONAL_UNIONS, - SELF_PUNISHMENT: () => SELF_PUNISHMENT, - SIGN_ELEMENT: () => SIGN_ELEMENT, - SIGN_POLARITY: () => SIGN_POLARITY, - SIGN_QUALITY: () => SIGN_QUALITY, - SIGN_RULER: () => SIGN_RULER, - SOLAR_TERM_LONGITUDES: () => SOLAR_TERM_LONGITUDES, - SOLAR_TERM_NAMES: () => SOLAR_TERM_NAMES, - STEMS: () => STEMS, - STEM_CLASHES: () => STEM_CLASHES, - STEM_COMBINATIONS: () => STEM_COMBINATIONS, - STEM_ELEMENT: () => STEM_ELEMENT, - STEM_LODGING: () => STEM_LODGING, - STORAGE_MAP: () => STORAGE_MAP, - STRENGTH: () => STRENGTH, - TEN_RELATION_NAMES: () => TEN_RELATION_NAMES, - THREE_HARMONIES: () => THREE_HARMONIES, - TWELVE_STAGES: () => TWELVE_STAGES, - ZODIAC_ANIMALS: () => ZODIAC_ANIMALS, - ZODIAC_ENGLISH: () => ZODIAC_ENGLISH, - allSixtyStemBranch: () => allSixtyStemBranch, - animalFromBranch: () => animalFromBranch, - branchByIndex: () => branchByIndex, - branchFromAnimal: () => branchFromAnimal, - branchFromHour: () => branchFromHour, - branchFromMonth: () => branchFromMonth, - branchPolarity: () => branchPolarity, - branchToPalace: () => branchToPalace, - buildEarthPlate: () => buildEarthPlate, - buildFourLessons: () => buildFourLessons, - buildHeavenPlate: () => buildHeavenPlate, - buildPlates: () => buildPlates, - computeAccidentalDignity: () => computeAccidentalDignity, - computeAlmutenFiguris: () => computeAlmutenFiguris, - computeAntiscia: () => computeAntiscia, - computeAscendant: () => computeAscendant, - computeBirthChart: () => computeBirthChart, - computeChuanRenChart: () => computeChuanRenChart, - computeContraAntiscia: () => computeContraAntiscia, - computeDispositorChain: () => computeDispositorChain, - computeDistributions: () => computeDistributions, - computeDivisionalChart: () => computeDivisionalChart, - computeExtendedSpeed: () => computeExtendedSpeed, - computeFirdaria: () => computeFirdaria, - computeFourPillars: () => computeFourPillars, - computeGauquelinSector: () => computeGauquelinSector, - computeHemispheres: () => computeHemispheres, - computeHouses: () => computeHouses, - computeLinearSpeed: () => computeLinearSpeed, - computeMajorLuck: () => computeMajorLuck, - computeMidheaven: () => computeMidheaven, - computeMidpoints: () => computeMidpoints, - computeMinorLuck: () => computeMinorLuck, - computeMoonPhase: () => computeMoonPhase, - computePlanetaryHour: () => computePlanetaryHour, - computeProfection: () => computeProfection, - computeQiMen: () => computeQiMen, - computeQiMenForDate: () => computeQiMenForDate, - computeResearch: () => computeResearch, - computeSiderealChart: () => computeSiderealChart, - computeSixRen: () => computeSixRen, - computeSixRenForDate: () => computeSixRenForDate, - computeSolarProximity: () => computeSolarProximity, - computeSolarReturn: () => computeSolarReturn, - computeSpeculumEntry: () => computeSpeculumEntry, - computeSpeed: () => computeSpeed, - computeTransits: () => computeTransits, - computeTropicalChart: () => computeTropicalChart, - computeVimshottariDashas: () => computeVimshottariDashas, - computeVoidBranches: () => computeVoidBranches, - computeZiWei: () => computeZiWei, - dailyAlmanac: () => dailyAlmanac, - dateToJulianCenturies: () => dateToJulianCenturies, - deltaT: () => deltaT, - deltaTForYear: () => deltaTForYear, - detectChartPattern: () => detectChartPattern, - eclipticToEquatorial: () => eclipticToEquatorial, - equationOfTime: () => equationOfTime, - equationOfTimeVSOP: () => equationOfTimeVSOP, - equatorialToHorizontal: () => equatorialToHorizontal, - findAlcochoden: () => findAlcochoden, - findAspects: () => findAspects, - findCrossAspects: () => findCrossAspects, - findFinalDispositor: () => findFinalDispositor, - findFixedStarConjunctions: () => findFixedStarConjunctions, - findHyleg: () => findHyleg, - findMidpointStructures: () => findMidpointStructures, - findMutualReceptions: () => findMutualReceptions, - findNearestCity: () => findNearestCity, - findNearestEclipse: () => findNearestEclipse, - findNewMoonsInRange: () => findNewMoonsInRange, - findParallelAspects: () => findParallelAspects, - findPrenatalSyzygy: () => findPrenatalSyzygy, - findSolarTermMoment: () => findSolarTermMoment, - findSpringStart: () => findSpringStart, - formatUtcOffset: () => formatUtcOffset, - fullMoonJDE: () => fullMoonJDE, - getAllLunarEclipses: () => getAllLunarEclipses, - getAllSolarEclipses: () => getAllSolarEclipses, - getAlmanacFlags: () => getAlmanacFlags, - getAlmanacFlagsForPillars: () => getAlmanacFlagsForPillars, - getAscendant: () => getAscendant, - getCanopy: () => getCanopy, - getChineseZodiac: () => getChineseZodiac, - getChineseZodiacLunarNewYear: () => getChineseZodiacLunarNewYear, - getChironPosition: () => getChironPosition, - getCitiesByRegion: () => getCitiesByRegion, - getCombinedElement: () => getCombinedElement, - getCycleElement: () => getCycleElement, - getCycleElementName: () => getCycleElementName, - getDayClash: () => getDayClash, - getDayClashForDate: () => getDayClashForDate, - getDayFitness: () => getDayFitness, - getDayFitnessForDate: () => getDayFitnessForDate, - getDayRelation: () => getDayRelation, - getDayStar: () => getDayStar, - getDeathSpirit: () => getDeathSpirit, - getDeityDirections: () => getDeityDirections, - getDeityDirectionsForDate: () => getDeityDirectionsForDate, - getDignity: () => getDignity2, - getDutyDeity: () => getDutyDeity, - getDutyDeityForDate: () => getDutyDeityForDate, - getEarthType: () => getEarthType, - getEclipsesForYear: () => getEclipsesForYear, - getEclipsesInRange: () => getEclipsesInRange, - getElementPattern: () => getElementPattern, - getElementRelation: () => getElementRelation, - getEscapeMode: () => getEscapeMode, - getExtendedDignity: () => getExtendedDignity, - getFaceRuler: () => getFaceRuler, - getFatepalace: () => getFatepalace, - getFetalDeity: () => getFetalDeity, - getFetalDeityForDate: () => getFetalDeityForDate, - getFlyingStars: () => getFlyingStars, - getGeneralStar: () => getGeneralStar, - getGoldenCarriage: () => getGoldenCarriage, - getHeavenlyDoctor: () => getHeavenlyDoctor, - getHeavenlyJoy: () => getHeavenlyJoy, - getHeavenlyNoble: () => getHeavenlyNoble, - getHeavenlyVirtue: () => getHeavenlyVirtue, - getHeavenlyVirtueCombo: () => getHeavenlyVirtueCombo, - getHiddenHarmonyPairs: () => getHiddenHarmonyPairs, - getHiddenStems: () => getHiddenStems, - getHourStar: () => getHourStar, - getJuShu: () => getJuShu, - getKetuPosition: () => getKetuPosition, - getLahiriAyanamsa: () => getLahiriAyanamsa, - getLifeStage: () => getLifeStage, - getLiteraryStar: () => getLiteraryStar, - getLonelyStar: () => getLonelyStar, - getLuckDirection: () => getLuckDirection, - getLunarMansion: () => getLunarMansion, - getLunarMansionForDate: () => getLunarMansionForDate, - getLunarMonthsForYear: () => getLunarMonthsForYear, - getLunarNewYear: () => getLunarNewYear, - getMansionForLongitude: () => getMansionForLongitude, - getMonthBoundaryTerms: () => getMonthBoundaryTerms, - getMonthStar: () => getMonthStar, - getMonthlyGeneral: () => getMonthlyGeneral, - getMonthlyVirtue: () => getMonthlyVirtue, - getMonthlyVirtueCombo: () => getMonthlyVirtueCombo, - getMoonPosition: () => getMoonPosition, - getNakshatra: () => getNakshatra, - getPalaceForLongitude: () => getPalaceForLongitude, - getPeachBlossom: () => getPeachBlossom, - getPengZuTaboo: () => getPengZuTaboo, - getPengZuTabooForDate: () => getPengZuTabooForDate, - getPlanetPosition: () => getPlanetPosition, - getPlanetaryDay: () => getPlanetaryDay, - getProsperityStar: () => getProsperityStar, - getPunishmentType: () => getPunishmentType, - getPurpleQiPosition: () => getPurpleQiPosition, - getRahuPosition: () => getRahuPosition, - getRamBlade: () => getRamBlade, - getRedPhoenix: () => getRedPhoenix, - getRobberyStar: () => getRobberyStar, - getSabianSymbol: () => getSabianSymbol, - getSalaryStar: () => getSalaryStar, - getSeasonalUnionElement: () => getSeasonalUnionElement, - getSevenGovernorsChart: () => getSevenGovernorsChart, - getSolarMonthExact: () => getSolarMonthExact, - getSolarTermsForYear: () => getSolarTermsForYear, - getStandardMeridian: () => getStandardMeridian, - getStorageElement: () => getStorageElement, - getStrength: () => getStrength, - getStudyHall: () => getStudyHall, - getSupremeNoble: () => getSupremeNoble, - getTenRelation: () => getTenRelation, - getTenRelationForBranch: () => getTenRelationForBranch, - getTermRuler: () => getTermRuler, - getThreeHarmonyElement: () => getThreeHarmonyElement, - getThreeWonders: () => getThreeWonders, - getTravelingHorse: () => getTravelingHorse, - getTriplicityRuler: () => getTriplicityRuler, - getUtcOffset: () => getUtcOffset, - getWesternLunarMansion: () => getWesternLunarMansion, - getWesternZodiac: () => getWesternZodiac, - getWidowStar: () => getWidowStar, - getYearStar: () => getYearStar, - getYuebeiPosition: () => getYuebeiPosition, - getZiWeiPosition: () => getZiWeiPosition, - getZodiacBySpringStart: () => getZodiacBySpringStart, - getZodiacSign: () => getZodiacSign, - greenwichMeanSiderealTime: () => greenwichMeanSiderealTime, - gregorianToLunisolar: () => gregorianToLunisolar, - isBesieged: () => isBesieged, - isClash: () => isClash, - isCommandingStar: () => isCommandingStar, - isDayChart: () => isDayChart, - isDestruction: () => isDestruction, - isDryEarth: () => isDryEarth, - isDst: () => isDst, - isEarthTrap: () => isEarthTrap, - isEclipseDate: () => isEclipseDate, - isFourWaste: () => isFourWaste, - isGauquelinPlusZone: () => isGauquelinPlusZone, - isGoldSpirit: () => isGoldSpirit, - isHalb: () => isHalb, - isHarm: () => isHarm, - isHarmony: () => isHarmony, - isHayz: () => isHayz, - isHeavenNet: () => isHeavenNet, - isHeavensPardon: () => isHeavensPardon, - isHiddenHarmony: () => isHiddenHarmony, - isJoyByHouse: () => isJoyByHouse, - isMonthBreak: () => isMonthBreak, - isOriental: () => isOriental, - isOutOfBounds: () => isOutOfBounds, - isPeregrine: () => isPeregrine, - isPunishment: () => isPunishment, - isSeasonalUnion: () => isSeasonalUnion, - isSelfPunishment: () => isSelfPunishment, - isStemClash: () => isStemClash, - isStemCombination: () => isStemCombination, - isTenEvils: () => isTenEvils, - isTenSpirits: () => isTenSpirits, - isThreeHarmony: () => isThreeHarmony, - isViaCombusta: () => isViaCombusta, - isVoidOfCourseMoon: () => isVoidOfCourseMoon, - isWetEarth: () => isWetEarth, - isYearBreak: () => isYearBreak, - isYinYangError: () => isYinYangError, - jdToCalendarDate: () => jdToCalendarDate, - julianCalendarToDate: () => julianCalendarToDate, - julianDayNumber: () => julianDayNumber, - localToUtc: () => localToUtc, - makeStemBranch: () => makeStemBranch, - meanObliquity: () => meanObliquity, - moonApparentLongitude: () => moonApparentLongitude, - moonPhase: () => moonPhase, - newMoonJDE: () => newMoonJDE, - normalizeDegrees: () => normalizeDegrees, - parseStemBranch: () => parseStemBranch, - precessStar: () => precessStar, - precessionInLongitude: () => precessionInLongitude, - searchCities: () => searchCities, - shortArcMidpoint: () => shortArcMidpoint, - solarEclipticState: () => solarEclipticState, - solarTermForLongitude: () => solarTermForLongitude, - stemBranchByCycleIndex: () => stemBranchByCycleIndex, - stemBranchCycleIndex: () => stemBranchCycleIndex, - stemByIndex: () => stemByIndex, - stemPolarity: () => stemPolarity, - timezoneFromLongitude: () => timezoneFromLongitude, - toDial90: () => toDial90, - toSiderealLongitude: () => toSiderealLongitude, - trueObliquity: () => trueObliquity, - trueSolarTime: () => trueSolarTime, - utcToLocal: () => utcToLocal, - wallClockToSolarTime: () => wallClockToSolarTime -}); -module.exports = __toCommonJS(index_exports); - -// src/stems.ts -var STEMS = ["\u7532", "\u4E59", "\u4E19", "\u4E01", "\u620A", "\u5DF1", "\u5E9A", "\u8F9B", "\u58EC", "\u7678"]; -var STEM_ELEMENT = { - "\u7532": "\u6728", - "\u4E59": "\u6728", - "\u4E19": "\u706B", - "\u4E01": "\u706B", - "\u620A": "\u571F", - "\u5DF1": "\u571F", - "\u5E9A": "\u91D1", - "\u8F9B": "\u91D1", - "\u58EC": "\u6C34", - "\u7678": "\u6C34" -}; -function stemPolarity(stem) { - return STEMS.indexOf(stem) % 2 === 0 ? "\u967D" : "\u9670"; -} -function stemByIndex(index) { - return STEMS[(index % 10 + 10) % 10]; -} - -// src/branches.ts -var BRANCHES = ["\u5B50", "\u4E11", "\u5BC5", "\u536F", "\u8FB0", "\u5DF3", "\u5348", "\u672A", "\u7533", "\u9149", "\u620C", "\u4EA5"]; -var BRANCH_ELEMENT = { - "\u5B50": "\u6C34", - "\u4E11": "\u571F", - "\u5BC5": "\u6728", - "\u536F": "\u6728", - "\u8FB0": "\u571F", - "\u5DF3": "\u706B", - "\u5348": "\u706B", - "\u672A": "\u571F", - "\u7533": "\u91D1", - "\u9149": "\u91D1", - "\u620C": "\u571F", - "\u4EA5": "\u6C34" -}; -function branchPolarity(branch) { - return BRANCHES.indexOf(branch) % 2 === 0 ? "\u967D" : "\u9670"; -} -function branchByIndex(index) { - return BRANCHES[(index % 12 + 12) % 12]; -} -function branchFromHour(hour) { - if (hour >= 23) return "\u5B50"; - return BRANCHES[Math.floor((hour + 1) / 2)]; -} -function branchFromMonth(monthIndex) { - return BRANCHES[(monthIndex + 2) % 12]; -} - -// src/elements.ts -var GENERATIVE_CYCLE = { - "\u91D1": "\u6C34", - "\u6C34": "\u6728", - "\u6728": "\u706B", - "\u706B": "\u571F", - "\u571F": "\u91D1" -}; -var CONQUERING_CYCLE = { - "\u91D1": "\u6728", - "\u6728": "\u571F", - "\u571F": "\u6C34", - "\u6C34": "\u706B", - "\u706B": "\u91D1" -}; -function getElementRelation(from, to) { - if (from === to) return "\u6BD4\u548C"; - if (GENERATIVE_CYCLE[from] === to) return "\u751F"; - if (CONQUERING_CYCLE[from] === to) return "\u524B"; - if (GENERATIVE_CYCLE[to] === from) return "\u88AB\u751F"; - return "\u88AB\u524B"; -} -var ELEMENT_ORDER = ["\u91D1", "\u6728", "\u6C34", "\u706B", "\u571F"]; - -// src/stem-branch.ts -function makeStemBranch(stem, branch) { - return `${stem}${branch}`; -} -function stemBranchByCycleIndex(index) { - const i = (index % 60 + 60) % 60; - const stem = stemByIndex(i); - const branch = branchByIndex(i); - return { stem, branch, stemBranch: makeStemBranch(stem, branch) }; -} -function stemBranchCycleIndex(stem, branch) { - const s = STEMS.indexOf(stem); - const b = BRANCHES.indexOf(branch); - if (s % 2 !== b % 2) return -1; - for (let x = s; x < 60; x += 10) { - if (x % 12 === b) return x; - } - return -1; -} -function parseStemBranch(gz) { - if (gz.length !== 2) return null; - const stem = gz[0]; - const branch = gz[1]; - if (!STEMS.includes(stem) || !BRANCHES.includes(branch)) return null; - return { stem, branch }; -} -function allSixtyStemBranch() { - return Array.from({ length: 60 }, (_, i) => stemBranchByCycleIndex(i).stemBranch); -} - -// src/branch-relations.ts -var HARMONY_PAIRS = [ - ["\u5B50", "\u4E11"], - ["\u5BC5", "\u4EA5"], - ["\u536F", "\u620C"], - ["\u8FB0", "\u9149"], - ["\u5DF3", "\u7533"], - ["\u5348", "\u672A"] -]; -function isHarmony(a, b) { - return HARMONY_PAIRS.some(([x, y]) => a === x && b === y || a === y && b === x); -} -var CLASH_PAIRS = [ - ["\u5B50", "\u5348"], - ["\u4E11", "\u672A"], - ["\u5BC5", "\u7533"], - ["\u536F", "\u9149"], - ["\u8FB0", "\u620C"], - ["\u5DF3", "\u4EA5"] -]; -function isClash(a, b) { - return CLASH_PAIRS.some(([x, y]) => a === x && b === y || a === y && b === x); -} -var THREE_HARMONIES = [ - { branches: ["\u7533", "\u5B50", "\u8FB0"], element: "\u6C34" }, - { branches: ["\u5BC5", "\u5348", "\u620C"], element: "\u706B" }, - { branches: ["\u5DF3", "\u9149", "\u4E11"], element: "\u91D1" }, - { branches: ["\u4EA5", "\u536F", "\u672A"], element: "\u6728" } -]; -function branchSetMatch(group, a, b, c) { - const set = /* @__PURE__ */ new Set([a, b, c]); - return group.every((br) => set.has(br)) && set.size === 3; -} -function isThreeHarmony(a, b, c) { - return THREE_HARMONIES.some(({ branches: [x, y, z] }) => branchSetMatch([x, y, z], a, b, c)); -} -function getThreeHarmonyElement(a, b, c) { - const found = THREE_HARMONIES.find(({ branches: [x, y, z] }) => branchSetMatch([x, y, z], a, b, c)); - return found?.element ?? null; -} -var HALF_HARMONIES = THREE_HARMONIES.flatMap( - ({ branches: [a, b, c], element }) => [ - { pair: [a, b], element }, - { pair: [a, c], element }, - { pair: [b, c], element } - ] -); -var SEASONAL_UNIONS = [ - { branches: ["\u5BC5", "\u536F", "\u8FB0"], element: "\u6728" }, - { branches: ["\u5DF3", "\u5348", "\u672A"], element: "\u706B" }, - { branches: ["\u7533", "\u9149", "\u620C"], element: "\u91D1" }, - { branches: ["\u4EA5", "\u5B50", "\u4E11"], element: "\u6C34" } -]; -function isSeasonalUnion(a, b, c) { - return SEASONAL_UNIONS.some(({ branches: [x, y, z] }) => branchSetMatch([x, y, z], a, b, c)); -} -function getSeasonalUnionElement(a, b, c) { - const found = SEASONAL_UNIONS.find(({ branches: [x, y, z] }) => branchSetMatch([x, y, z], a, b, c)); - return found?.element ?? null; -} -var PUNISHMENT_GROUPS = [ - { branches: ["\u5BC5", "\u5DF3", "\u7533"], type: "\u7121\u6069" }, - { branches: ["\u4E11", "\u620C", "\u672A"], type: "\u6043\u52E2" }, - { branches: ["\u5B50", "\u536F"], type: "\u7121\u79AE" } -]; -function isPunishment(a, b) { - return PUNISHMENT_GROUPS.some(({ branches }) => branches.includes(a) && branches.includes(b) && a !== b); -} -function getPunishmentType(a, b) { - const found = PUNISHMENT_GROUPS.find(({ branches }) => branches.includes(a) && branches.includes(b) && a !== b); - return found?.type ?? null; -} -var SELF_PUNISHMENT = ["\u8FB0", "\u5348", "\u9149", "\u4EA5"]; -function isSelfPunishment(branch) { - return SELF_PUNISHMENT.includes(branch); -} -var HARM_PAIRS = [ - ["\u5B50", "\u672A"], - ["\u4E11", "\u5348"], - ["\u5BC5", "\u5DF3"], - ["\u536F", "\u8FB0"], - ["\u7533", "\u4EA5"], - ["\u9149", "\u620C"] -]; -function isHarm(a, b) { - return HARM_PAIRS.some(([x, y]) => a === x && b === y || a === y && b === x); -} -var DESTRUCTION_PAIRS = [ - ["\u5B50", "\u9149"], - ["\u4E11", "\u8FB0"], - ["\u5BC5", "\u4EA5"], - ["\u536F", "\u5348"], - ["\u5DF3", "\u7533"], - ["\u672A", "\u620C"] -]; -function isDestruction(a, b) { - return DESTRUCTION_PAIRS.some(([x, y]) => a === x && b === y || a === y && b === x); -} -function getDayRelation(dayBranch, lineBranch) { - if (isHarmony(dayBranch, lineBranch)) return "\u5408"; - if (isClash(dayBranch, lineBranch)) return "\u885D"; - const dayEl = BRANCH_ELEMENT[dayBranch]; - const lineEl = BRANCH_ELEMENT[lineBranch]; - const rel = getElementRelation(dayEl, lineEl); - if (rel === "\u751F") return "\u751F"; - if (rel === "\u524B") return "\u524B"; - return "\u6BD4\u548C"; -} - -// src/element-strength.ts -var STRENGTH = { - "\u65FA": "\u{1F315}", - "\u76F8": "\u{1F314}", - "\u4F11": "\u{1F313}", - "\u56DA": "\u{1F312}", - "\u6B7B": "\u{1F311}" -}; -function getStrength(element, monthBranch) { - const monthElement = BRANCH_ELEMENT[monthBranch]; - if (!monthElement) return { label: "\u4F11", moon: STRENGTH["\u4F11"] }; - let label; - if (element === monthElement) label = "\u65FA"; - else if (GENERATIVE_CYCLE[monthElement] === element) label = "\u76F8"; - else if (GENERATIVE_CYCLE[element] === monthElement) label = "\u4F11"; - else if (CONQUERING_CYCLE[element] === monthElement) label = "\u56DA"; - else label = "\u6B7B"; - return { label, moon: STRENGTH[label] }; -} - -// src/hidden-stems.ts -var HIDDEN_STEMS = { - "\u5B50": [{ stem: "\u7678", proportion: 1 }], - "\u4E11": [{ stem: "\u5DF1", proportion: 0.6 }, { stem: "\u7678", proportion: 0.2 }, { stem: "\u8F9B", proportion: 0.2 }], - "\u5BC5": [{ stem: "\u7532", proportion: 0.6 }, { stem: "\u4E19", proportion: 0.2 }, { stem: "\u620A", proportion: 0.2 }], - "\u536F": [{ stem: "\u4E59", proportion: 1 }], - "\u8FB0": [{ stem: "\u620A", proportion: 0.6 }, { stem: "\u4E59", proportion: 0.2 }, { stem: "\u7678", proportion: 0.2 }], - "\u5DF3": [{ stem: "\u4E19", proportion: 0.6 }, { stem: "\u5E9A", proportion: 0.2 }, { stem: "\u620A", proportion: 0.2 }], - "\u5348": [{ stem: "\u4E01", proportion: 0.7 }, { stem: "\u5DF1", proportion: 0.3 }], - "\u672A": [{ stem: "\u5DF1", proportion: 0.6 }, { stem: "\u4E01", proportion: 0.2 }, { stem: "\u4E59", proportion: 0.2 }], - "\u7533": [{ stem: "\u5E9A", proportion: 0.6 }, { stem: "\u58EC", proportion: 0.2 }, { stem: "\u620A", proportion: 0.2 }], - "\u9149": [{ stem: "\u8F9B", proportion: 1 }], - "\u620C": [{ stem: "\u620A", proportion: 0.6 }, { stem: "\u8F9B", proportion: 0.2 }, { stem: "\u4E01", proportion: 0.2 }], - "\u4EA5": [{ stem: "\u58EC", proportion: 0.7 }, { stem: "\u7532", proportion: 0.3 }] -}; -function getHiddenStems(branch) { - return HIDDEN_STEMS[branch]; -} - -// src/twelve-stages.ts -var TWELVE_STAGES = [ - "\u9577\u751F", - "\u6C90\u6D74", - "\u51A0\u5E36", - "\u81E8\u5B98", - "\u5E1D\u65FA", - "\u8870", - "\u75C5", - "\u6B7B", - "\u5893", - "\u7D55", - "\u80CE", - "\u990A" -]; -var YANG_START = { - "\u7532": 11, - "\u4E19": 2, - "\u620A": 2, - "\u5E9A": 5, - "\u58EC": 8 -}; -var YIN_START = { - "\u4E59": 6, - "\u4E01": 9, - "\u5DF1": 9, - "\u8F9B": 0, - "\u7678": 3 -}; -function getLifeStage(stem, branch) { - const branchIdx3 = BRANCHES.indexOf(branch); - const isYang = stemPolarity(stem) === "\u967D"; - const startIdx = isYang ? YANG_START[stem] : YIN_START[stem]; - let offset; - if (isYang) { - offset = ((branchIdx3 - startIdx) % 12 + 12) % 12; - } else { - offset = ((startIdx - branchIdx3) % 12 + 12) % 12; - } - return TWELVE_STAGES[offset]; -} - -// src/ten-relations.ts -var TEN_RELATION_NAMES = [ - "\u6BD4\u80A9", - "\u52AB\u8CA1", - "\u98DF\u795E", - "\u50B7\u5B98", - "\u504F\u8CA1", - "\u6B63\u8CA1", - "\u4E03\u6BBA", - "\u6B63\u5B98", - "\u504F\u5370", - "\u6B63\u5370" -]; -function getTenRelation(dayStem, otherStem) { - const dayEl = STEM_ELEMENT[dayStem]; - const otherEl = STEM_ELEMENT[otherStem]; - const rel = getElementRelation(dayEl, otherEl); - const samePolarity = stemPolarity(dayStem) === stemPolarity(otherStem); - switch (rel) { - case "\u6BD4\u548C": - return samePolarity ? "\u6BD4\u80A9" : "\u52AB\u8CA1"; - case "\u751F": - return samePolarity ? "\u98DF\u795E" : "\u50B7\u5B98"; - case "\u524B": - return samePolarity ? "\u504F\u8CA1" : "\u6B63\u8CA1"; - case "\u88AB\u524B": - return samePolarity ? "\u4E03\u6BBA" : "\u6B63\u5B98"; - case "\u88AB\u751F": - return samePolarity ? "\u504F\u5370" : "\u6B63\u5370"; - } -} -function getTenRelationForBranch(dayStem, branch) { - const mainStem = HIDDEN_STEMS[branch][0].stem; - return getTenRelation(dayStem, mainStem); -} - -// src/earth-types.ts -var EARTH_BRANCHES = ["\u8FB0", "\u4E11", "\u620C", "\u672A"]; -var EARTH_TYPE_MAP = { - "\u8FB0": "\u6FD5", - "\u4E11": "\u6FD5", - "\u620C": "\u71E5", - "\u672A": "\u71E5" -}; -var STORAGE_MAP = { - "\u8FB0": "\u6C34", - // 水庫 - "\u620C": "\u706B", - // 火庫 - "\u4E11": "\u91D1", - // 金庫 - "\u672A": "\u6728" - // 木庫 -}; -function isWetEarth(branch) { - return EARTH_TYPE_MAP[branch] === "\u6FD5"; -} -function isDryEarth(branch) { - return EARTH_TYPE_MAP[branch] === "\u71E5"; -} -function getEarthType(branch) { - return EARTH_TYPE_MAP[branch] ?? null; -} -function getStorageElement(branch) { - return STORAGE_MAP[branch] ?? null; -} - -// src/stem-relations.ts -var STEM_COMBINATIONS = [ - { pair: ["\u7532", "\u5DF1"], element: "\u571F" }, - { pair: ["\u4E59", "\u5E9A"], element: "\u91D1" }, - { pair: ["\u4E19", "\u8F9B"], element: "\u6C34" }, - { pair: ["\u4E01", "\u58EC"], element: "\u6728" }, - { pair: ["\u620A", "\u7678"], element: "\u706B" } -]; -var STEM_CLASHES = [ - ["\u7532", "\u5E9A"], - ["\u4E59", "\u8F9B"], - ["\u4E19", "\u58EC"], - ["\u4E01", "\u7678"] -]; -function isStemCombination(a, b) { - return STEM_COMBINATIONS.some(({ pair: [x, y] }) => a === x && b === y || a === y && b === x); -} -function isStemClash(a, b) { - return STEM_CLASHES.some(([x, y]) => a === x && b === y || a === y && b === x); -} -function getCombinedElement(a, b) { - const found = STEM_COMBINATIONS.find(({ pair: [x, y] }) => a === x && b === y || a === y && b === x); - return found?.element ?? null; -} - -// src/hidden-harmony.ts -function computeHiddenHarmonyPairs() { - const pairs = []; - for (let i = 0; i < BRANCHES.length; i++) { - for (let j = i + 1; j < BRANCHES.length; j++) { - const a = BRANCHES[i]; - const b = BRANCHES[j]; - if (isHarmony(a, b)) continue; - const mainA = HIDDEN_STEMS[a][0].stem; - const mainB = HIDDEN_STEMS[b][0].stem; - if (isStemCombination(mainA, mainB)) { - const element = getCombinedElement(mainA, mainB); - pairs.push({ branches: [a, b], element }); - } - } - } - return pairs; -} -var HIDDEN_HARMONY_PAIRS = computeHiddenHarmonyPairs(); -function isHiddenHarmony(a, b) { - return HIDDEN_HARMONY_PAIRS.some( - ({ branches: [x, y] }) => a === x && b === y || a === y && b === x - ); -} -function getHiddenHarmonyPairs() { - return HIDDEN_HARMONY_PAIRS; -} - -// src/cycle-elements.ts -var _CYCLE_ELEMENTS = { - "\u7532\u5B50": { element: "\u91D1", name: "\u6D77\u4E2D\u91D1" }, - "\u4E59\u4E11": { element: "\u91D1", name: "\u6D77\u4E2D\u91D1" }, - "\u4E19\u5BC5": { element: "\u706B", name: "\u7210\u4E2D\u706B" }, - "\u4E01\u536F": { element: "\u706B", name: "\u7210\u4E2D\u706B" }, - "\u620A\u8FB0": { element: "\u6728", name: "\u5927\u6797\u6728" }, - "\u5DF1\u5DF3": { element: "\u6728", name: "\u5927\u6797\u6728" }, - "\u5E9A\u5348": { element: "\u571F", name: "\u8DEF\u65C1\u571F" }, - "\u8F9B\u672A": { element: "\u571F", name: "\u8DEF\u65C1\u571F" }, - "\u58EC\u7533": { element: "\u91D1", name: "\u528D\u92D2\u91D1" }, - "\u7678\u9149": { element: "\u91D1", name: "\u528D\u92D2\u91D1" }, - "\u7532\u620C": { element: "\u706B", name: "\u5C71\u982D\u706B" }, - "\u4E59\u4EA5": { element: "\u706B", name: "\u5C71\u982D\u706B" }, - "\u4E19\u5B50": { element: "\u6C34", name: "\u6F97\u4E0B\u6C34" }, - "\u4E01\u4E11": { element: "\u6C34", name: "\u6F97\u4E0B\u6C34" }, - "\u620A\u5BC5": { element: "\u571F", name: "\u57CE\u982D\u571F" }, - "\u5DF1\u536F": { element: "\u571F", name: "\u57CE\u982D\u571F" }, - "\u5E9A\u8FB0": { element: "\u91D1", name: "\u767D\u881F\u91D1" }, - "\u8F9B\u5DF3": { element: "\u91D1", name: "\u767D\u881F\u91D1" }, - "\u58EC\u5348": { element: "\u6728", name: "\u694A\u67F3\u6728" }, - "\u7678\u672A": { element: "\u6728", name: "\u694A\u67F3\u6728" }, - "\u7532\u7533": { element: "\u6C34", name: "\u6CC9\u4E2D\u6C34" }, - "\u4E59\u9149": { element: "\u6C34", name: "\u6CC9\u4E2D\u6C34" }, - "\u4E19\u620C": { element: "\u571F", name: "\u5C4B\u4E0A\u571F" }, - "\u4E01\u4EA5": { element: "\u571F", name: "\u5C4B\u4E0A\u571F" }, - "\u620A\u5B50": { element: "\u706B", name: "\u9739\u9742\u706B" }, - "\u5DF1\u4E11": { element: "\u706B", name: "\u9739\u9742\u706B" }, - "\u5E9A\u5BC5": { element: "\u6728", name: "\u677E\u67CF\u6728" }, - "\u8F9B\u536F": { element: "\u6728", name: "\u677E\u67CF\u6728" }, - "\u58EC\u8FB0": { element: "\u6C34", name: "\u9577\u6D41\u6C34" }, - "\u7678\u5DF3": { element: "\u6C34", name: "\u9577\u6D41\u6C34" }, - "\u7532\u5348": { element: "\u91D1", name: "\u6C99\u4E2D\u91D1" }, - "\u4E59\u672A": { element: "\u91D1", name: "\u6C99\u4E2D\u91D1" }, - "\u4E19\u7533": { element: "\u706B", name: "\u5C71\u4E0B\u706B" }, - "\u4E01\u9149": { element: "\u706B", name: "\u5C71\u4E0B\u706B" }, - "\u620A\u620C": { element: "\u6728", name: "\u5E73\u5730\u6728" }, - "\u5DF1\u4EA5": { element: "\u6728", name: "\u5E73\u5730\u6728" }, - "\u5E9A\u5B50": { element: "\u571F", name: "\u58C1\u4E0A\u571F" }, - "\u8F9B\u4E11": { element: "\u571F", name: "\u58C1\u4E0A\u571F" }, - "\u58EC\u5BC5": { element: "\u91D1", name: "\u91D1\u7B94\u91D1" }, - "\u7678\u536F": { element: "\u91D1", name: "\u91D1\u7B94\u91D1" }, - "\u7532\u8FB0": { element: "\u706B", name: "\u8986\u71C8\u706B" }, - "\u4E59\u5DF3": { element: "\u706B", name: "\u8986\u71C8\u706B" }, - "\u4E19\u5348": { element: "\u6C34", name: "\u5929\u6CB3\u6C34" }, - "\u4E01\u672A": { element: "\u6C34", name: "\u5929\u6CB3\u6C34" }, - "\u620A\u7533": { element: "\u571F", name: "\u5927\u9A5B\u571F" }, - "\u5DF1\u9149": { element: "\u571F", name: "\u5927\u9A5B\u571F" }, - "\u5E9A\u620C": { element: "\u91D1", name: "\u91F5\u91E7\u91D1" }, - "\u8F9B\u4EA5": { element: "\u91D1", name: "\u91F5\u91E7\u91D1" }, - "\u58EC\u5B50": { element: "\u6728", name: "\u6851\u67D8\u6728" }, - "\u7678\u4E11": { element: "\u6728", name: "\u6851\u67D8\u6728" }, - "\u7532\u5BC5": { element: "\u6C34", name: "\u5927\u6EAA\u6C34" }, - "\u4E59\u536F": { element: "\u6C34", name: "\u5927\u6EAA\u6C34" }, - "\u4E19\u8FB0": { element: "\u571F", name: "\u6C99\u4E2D\u571F" }, - "\u4E01\u5DF3": { element: "\u571F", name: "\u6C99\u4E2D\u571F" }, - "\u620A\u5348": { element: "\u706B", name: "\u5929\u4E0A\u706B" }, - "\u5DF1\u672A": { element: "\u706B", name: "\u5929\u4E0A\u706B" }, - "\u5E9A\u7533": { element: "\u6728", name: "\u77F3\u69B4\u6728" }, - "\u8F9B\u9149": { element: "\u6728", name: "\u77F3\u69B4\u6728" }, - "\u58EC\u620C": { element: "\u6C34", name: "\u5927\u6D77\u6C34" }, - "\u7678\u4EA5": { element: "\u6C34", name: "\u5927\u6D77\u6C34" } -}; -var CYCLE_ELEMENTS = _CYCLE_ELEMENTS; -function getCycleElement(sb) { - const entry = _CYCLE_ELEMENTS[sb]; - return entry.element; -} -function getCycleElementName(sb) { - const entry = _CYCLE_ELEMENTS[sb]; - return entry.name; -} - -// src/void-branches.ts -function computeVoidBranches(dayStem, dayBranch) { - const s = STEMS.indexOf(dayStem); - const b = BRANCHES.indexOf(dayBranch); - const startBranch = ((b - s) % 12 + 12) % 12; - const v1 = BRANCHES[(startBranch + 10) % 12]; - const v2 = BRANCHES[(startBranch + 11) % 12]; - const stemIsYang = stemPolarity(dayStem) === "\u967D"; - return stemIsYang ? { true: v1, partial: v2 } : { true: v2, partial: v1 }; -} - -// src/delta-t.ts -var SXWNL_DT = [ - [2016, 68.1024, 0.5456, -0.0542, -1172e-6], - [2020, 69.3612, 0.0422, -0.0502, 6216e-6], - [2024, 69.1752, -0.0335, -48e-4, 811e-6], - [2028, 69.0206, -0.0275, 55e-4, -14e-6], - [2032, 68.9981, 0.0163, 54e-4, 6e-6], - [2036, 69.1498, 0.0599, 53e-4, 26e-6], - [2040, 69.4751, 0.1035, 51e-4, 46e-6], - [2044, 69.9737, 0.1469, 5e-3, 66e-6], - [2048, 70.6451, 0.1903, 49e-4, 85e-6] -]; -var SXWNL_TABLE_END = 2050; -var SXWNL_TABLE_END_DT = 71.0457; -function dtParabolic(y, jsd) { - const dy = (y - 1820) / 100; - return -20 + jsd * dy * dy; -} -function sxwnlCubicDeltaT(y) { - let seg = SXWNL_DT.length - 1; - for (let i = 0; i < SXWNL_DT.length - 1; i++) { - if (y < SXWNL_DT[i + 1][0]) { - seg = i; - break; - } - } - const [y0, a0, a1, a2, a3] = SXWNL_DT[seg]; - const nextY = seg < SXWNL_DT.length - 1 ? SXWNL_DT[seg + 1][0] : SXWNL_TABLE_END; - const t = (y - y0) / (nextY - y0) * 10; - return a0 + a1 * t + a2 * t * t + a3 * t * t * t; -} -function sxwnlExtrapolation(y) { - const jsd = 31; - if (y > SXWNL_TABLE_END + 100) return dtParabolic(y, jsd); - const v = dtParabolic(y, jsd); - const dv = dtParabolic(SXWNL_TABLE_END, jsd) - SXWNL_TABLE_END_DT; - return v - dv * (SXWNL_TABLE_END + 100 - y) / 100; -} -function deltaT(date) { - const y = date.getUTCFullYear() + (date.getUTCMonth() + 0.5) / 12; - return deltaTForYear(y); -} -function deltaTForYear(y) { - if (y < -500) { - const u = (y - 1820) / 100; - return -20 + 32 * u * u; - } - if (y < 500) { - const u = y / 100; - return 10583.6 - 1014.41 * u + 33.78311 * u * u - 5.952053 * u * u * u - 0.1798452 * Math.pow(u, 4) + 0.022174192 * Math.pow(u, 5) + 0.0090316521 * Math.pow(u, 6); - } - if (y < 1600) { - const u = (y - 1e3) / 100; - return 1574.2 - 556.01 * u + 71.23472 * u * u + 0.319781 * u * u * u - 0.8503463 * Math.pow(u, 4) - 5050998e-9 * Math.pow(u, 5) + 0.0083572073 * Math.pow(u, 6); - } - if (y < 1700) { - const t = y - 1600; - return 120 - 0.9808 * t - 0.01532 * t * t + t * t * t / 7129; - } - if (y < 1800) { - const t = y - 1700; - return 8.83 + 0.1603 * t - 59285e-7 * t * t + 13336e-8 * t * t * t - Math.pow(t, 4) / 1174e3; - } - if (y < 1860) { - const t = y - 1800; - return 13.72 - 0.332447 * t + 68612e-7 * t * t + 41116e-7 * t * t * t - 37436e-8 * Math.pow(t, 4) + 121272e-10 * Math.pow(t, 5) - 1699e-10 * Math.pow(t, 6) + 875e-12 * Math.pow(t, 7); - } - if (y < 1900) { - const t = y - 1860; - return 7.62 + 0.5737 * t - 0.251754 * t * t + 0.01680668 * t * t * t - 4473624e-10 * Math.pow(t, 4) + Math.pow(t, 5) / 233174; - } - if (y < 1920) { - const t = y - 1900; - return -2.79 + 1.494119 * t - 0.0598939 * t * t + 61966e-7 * t * t * t - 197e-6 * Math.pow(t, 4); - } - if (y < 1941) { - const t = y - 1920; - return 21.2 + 0.84493 * t - 0.0761 * t * t + 20936e-7 * t * t * t; - } - if (y < 1961) { - const t = y - 1950; - return 29.07 + 0.407 * t - t * t / 233 + t * t * t / 2547; - } - if (y < 1986) { - const t = y - 1975; - return 45.45 + 1.067 * t - t * t / 260 - t * t * t / 718; - } - if (y < 2005) { - const t = y - 2e3; - return 63.86 + 0.3345 * t - 0.060374 * t * t + 17275e-7 * t * t * t + 651814e-9 * Math.pow(t, 4) + 2373599e-11 * Math.pow(t, 5); - } - if (y < 2016) { - const t = y - 2005; - return 64.69 + 0.293 * t; - } - if (y < SXWNL_TABLE_END) { - return sxwnlCubicDeltaT(y); - } - return sxwnlExtrapolation(y); -} - -// src/vsop87d-earth.ts -function evaluateVsopSeries(series, tau) { - let result = 0; - let tauPow = 1; - for (const terms of series) { - let sum = 0; - for (const [A, B, C] of terms) { - sum += A * Math.cos(B + C * tau); - } - result += sum * tauPow; - tauPow *= tau; - } - return result; -} -var EARTH_L = [ - [ - [1.75347045673, 0, 0], - [0.03341656456, 4.66925680417, 6283.0758499914], - [34894275e-11, 4.62610241759, 12566.1516999828], - [3417571e-11, 2.82886579606, 3.523118349], - [3497056e-11, 2.74411800971, 5753.3848848968], - [3135896e-11, 3.62767041758, 77713.7714681205], - [2676218e-11, 4.41808351397, 7860.4193924392], - [2342687e-11, 6.13516237631, 3930.2096962196], - [1273166e-11, 2.03709655772, 529.6909650946], - [1324292e-11, 0.74246356352, 11506.7697697936], - [901855e-11, 2.04505443513, 26.2983197998], - [1199167e-11, 1.10962944315, 1577.3435424478], - [857223e-11, 3.50849156957, 398.1490034082], - [779786e-11, 1.17882652114, 5223.6939198022], - [99025e-10, 5.23268129594, 5884.9268465832], - [753141e-11, 2.53339053818, 5507.5532386674], - [505264e-11, 4.58292563052, 18849.2275499742], - [492379e-11, 4.20506639861, 775.522611324], - [356655e-11, 2.91954116867, 0.0673103028], - [284125e-11, 1.89869034186, 796.2980068164], - [24281e-10, 0.34481140906, 5486.777843175], - [317087e-11, 5.84901952218, 11790.6290886588], - [271039e-11, 0.31488607649, 10977.078804699], - [20616e-10, 4.80646606059, 2544.3144198834], - [205385e-11, 1.86947813692, 5573.1428014331], - [202261e-11, 2.45767795458, 6069.7767545534], - [126184e-11, 1.0830263021, 20.7753954924], - [155516e-11, 0.83306073807, 213.299095438], - [115132e-11, 0.64544911683, 0.9803210682], - [102851e-11, 0.63599846727, 4694.0029547076], - [101724e-11, 4.26679821365, 7.1135470008], - [99206e-11, 6.20992940258, 2146.1654164752], - [132212e-11, 3.41118275555, 2942.4634232916], - [97607e-11, 0.6810127227, 155.4203994342], - [85128e-11, 1.29870743025, 6275.9623029906], - [74651e-11, 1.75508916159, 5088.6288397668], - [101895e-11, 0.97569221824, 15720.8387848784], - [84711e-11, 3.67080093025, 71430.69561812909], - [73547e-11, 4.67926565481, 801.8209311238], - [73874e-11, 3.50319443167, 3154.6870848956], - [78756e-11, 3.03698313141, 12036.4607348882], - [79637e-11, 1.807913307, 17260.1546546904], - [85803e-11, 5.98322631256, 161000.6857376741], - [56963e-11, 2.78430398043, 6286.5989683404], - [61148e-11, 1.81839811024, 7084.8967811152], - [69627e-11, 0.83297596966, 9437.762934887], - [56116e-11, 4.38694880779, 14143.4952424306], - [62449e-11, 3.97763880587, 8827.3902698748], - [51145e-11, 0.28306864501, 5856.4776591154], - [55577e-11, 3.47006009062, 6279.5527316424], - [41036e-11, 5.36817351402, 8429.2412664666], - [51605e-11, 1.33282746983, 1748.016413067], - [51992e-11, 0.18914945834, 12139.5535091068], - [49e-8, 0.48735065033, 1194.4470102246], - [392e-9, 6.16832995016, 10447.3878396044], - [35566e-11, 1.77597314691, 6812.766815086], - [3677e-10, 6.04133859347, 10213.285546211], - [36596e-11, 2.56955238628, 1059.3819301892], - [33291e-11, 0.59309499459, 17789.845619785], - [35954e-11, 1.70876111898, 2352.8661537718], - [40938e-11, 2.39850881707, 19651.048481098], - [30047e-11, 2.73975123935, 1349.8674096588], - [30412e-11, 0.44294464135, 83996.84731811189], - [23663e-11, 0.48473567763, 8031.0922630584], - [23574e-11, 2.06527720049, 3340.6124266998], - [21089e-11, 4.14825464101, 951.7184062506], - [24738e-11, 0.21484762138, 3.5904286518], - [25352e-11, 3.16470953405, 4690.4798363586], - [2282e-10, 5.22197888032, 4705.7323075436], - [21419e-11, 1.42563735525, 16730.4636895958], - [21891e-11, 5.55594302562, 553.5694028424], - [17481e-11, 4.56052900359, 135.0650800354], - 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[7e-11, 4.4121885448, 161000.6857376741], - [5e-11, 5.26154653107, 6438.4962494256], - [5e-11, 4.07695126049, 6127.6554505572], - [6e-11, 3.81514213664, 149854.4001348079], - [3e-11, 1.28175749811, 6286.5989683404] - ], - [ - [86e-11, 1.21579741687, 6283.0758499914], - [12e-11, 0.65617264033, 12566.1516999828], - [1e-11, 0.38068797142, 18849.2275499742] - ] -]; - -// src/astro.ts -var DEG_TO_RAD = Math.PI / 180; -var RAD_TO_DEG = 180 / Math.PI; -var ARCSEC_TO_RAD = Math.PI / 180 / 3600; -var C_AU_PER_DAY = 173.144632674; -function dateToJD_TT(date) { - const jdUT = date.getTime() / 864e5 + 24405875e-1; - const dtSeconds = deltaT(date); - return jdUT + dtSeconds / 86400; -} -function dateToJulianMillennia(date) { - return (dateToJD_TT(date) - 2451545) / 365250; -} -function dateToJulianCenturies(date) { - return (dateToJD_TT(date) - 2451545) / 36525; -} -function delaunayArgs(T) { - const T2 = T * T; - const T3 = T2 * T; - const T4 = T3 * T; - const l = (485868.249036 + 17179159232178e-4 * T + 31.8792 * T2 + 0.051635 * T3 - 2447e-7 * T4) % 1296e3 * ARCSEC_TO_RAD; - const lp = (128710479305e-5 + 1295965810481e-4 * T - 0.5532 * T2 + 136e-6 * T3 - 1149e-8 * T4) % 1296e3 * ARCSEC_TO_RAD; - const F = (335779.526232 + 17395272628478e-4 * T - 12.7512 * T2 - 1037e-6 * T3 + 417e-8 * T4) % 1296e3 * ARCSEC_TO_RAD; - const D = (107226070369e-5 + 1602961601209e-3 * T - 6.3706 * T2 + 6593e-6 * T3 - 3169e-8 * T4) % 1296e3 * ARCSEC_TO_RAD; - const Om = (450160.398036 - 69628905431e-4 * T + 7.4722 * T2 + 7702e-6 * T3 - 5939e-8 * T4) % 1296e3 * ARCSEC_TO_RAD; - return { l, lp, F, D, Om }; -} -var NUT_COEFFS = [ - [0, 0, 0, 0, 1, -172064161, -174666], - [0, 0, 2, -2, 2, -13170906, -1675], - [0, 0, 2, 0, 2, -2276413, -234], - [0, 0, 0, 0, 2, 2074554, 207], - [0, 1, 0, 0, 0, 1475877, -3633], - [0, 1, 2, -2, 2, -516821, 1226], - [1, 0, 0, 0, 0, 711159, 73], - [0, 0, 2, 0, 1, -387298, -367], - [1, 0, 2, 0, 2, -301461, -36], - [0, -1, 2, -2, 2, 215829, -494], - [0, 0, 2, -2, 1, 128227, 137], - [-1, 0, 2, 0, 2, 123457, 11], - [-1, 0, 0, 2, 0, 156994, 10], - [1, 0, 0, 0, 1, 63110, 63], - [-1, 0, 0, 0, 1, -57976, -63], - [-1, 0, 2, 2, 2, -59641, -11], - [1, 0, 2, 0, 1, -51613, -42], - [-2, 0, 2, 0, 1, 45893, 50], - [0, 0, 0, 2, 0, 63384, 11], - [0, 0, 2, 2, 2, -38571, -1], - [0, -2, 2, -2, 2, 32481, 0], - [-2, 0, 0, 2, 0, -47722, 0], - [2, 0, 2, 0, 2, -31046, -1], - [1, 0, 2, -2, 2, 28593, 0], - [-1, 0, 2, 0, 1, 20441, 21], - [2, 0, 0, 0, 0, 29243, 0], - [0, 0, 2, 0, 0, 25887, 0], - [0, 1, 0, 0, 1, -14053, -25], - [-1, 0, 0, 2, 1, 15164, 10], - [0, 2, 2, -2, 2, -15794, 72], - [0, 0, -2, 2, 0, 21783, 0], - [1, 0, 0, -2, 1, -12873, -10], - [0, -1, 0, 0, 1, -12654, 11], - [-1, 0, 2, 2, 1, -10204, 0], - [0, 2, 0, 0, 0, 16707, -85], - [1, 0, 2, 2, 2, -7691, 0], - [-2, 0, 2, 0, 0, -11024, 0], - [0, 1, 2, 0, 2, 7566, -21], - [0, 0, 2, 2, 1, -6637, -11], - [0, -1, 2, 0, 2, -7141, 21], - [0, 0, 0, 2, 1, -6302, -11], - [1, 0, 2, -2, 1, 5800, 10], - [2, 0, 2, -2, 2, 6443, 0], - [-2, 0, 0, 2, 1, -5774, -11], - [2, 0, 2, 0, 1, -5350, 0], - [0, -1, 2, -2, 1, -4752, -11], - [0, 0, 0, -2, 1, -4940, -11], - [-1, -1, 0, 2, 0, 7350, 0], - [2, 0, 0, -2, 1, 4065, 0], - [1, 0, 0, 2, 0, 6579, 0], - [0, 1, 2, -2, 1, 3579, 0], - [1, -1, 0, 0, 0, 4725, 0], - [-2, 0, 2, 0, 2, -3075, 0], - [3, 0, 2, 0, 2, -2904, 0], - [0, -1, 0, 2, 0, 4348, 0], - [1, -1, 2, 0, 2, -2878, 0], - [0, 0, 0, 1, 0, -4230, 0], - [-1, -1, 2, 2, 2, -2819, 0], - [-1, 0, 2, 0, 0, -4056, 0], - [0, -1, 2, 2, 2, -2647, 0], - [-2, 0, 0, 0, 1, -2294, 0], - [1, 1, 2, 0, 2, 2481, 0], - [2, 0, 0, 0, 1, 2179, 0], - [-1, 1, 0, 1, 0, 3276, 0], - [1, 1, 0, 0, 0, -3389, 0], - [1, 0, 2, 0, 0, 3339, 0], - [-1, 0, 2, -2, 1, -1987, 0], - [1, 0, 0, 0, 2, -1981, 0], - [-1, 0, 0, 1, 0, 4026, 0], - [0, 0, 2, 1, 2, 1660, 0], - [-1, 0, 2, 4, 2, -1521, 0], - [-1, 1, 0, 1, 1, 1314, 0], - [0, -2, 2, -2, 1, -1283, 0], - [1, 0, 2, 2, 1, -1331, 0], - [-2, 0, 2, 2, 2, 1383, 0], - [-1, 0, 0, 0, 2, 1405, 0], - [1, 1, 2, -2, 2, 1290, 0] -]; -var NUT_OBLIQ_COEFFS = [ - [92052331, 9086], - [5730336, -3015], - [978459, -485], - [-897492, 470], - [73871, -184], - [224386, -677], - [-6750, 0], - [200728, 18], - [129025, -63], - [-95929, 299], - [-68982, -9], - [-53311, 32], - [-1235, 0], - [-33228, 0], - [31429, 0], - [25543, -11], - [26366, 0], - [-24236, -10], - [-1220, 0], - [16452, -11], - [-13870, 0], - [477, 0], - [13238, -11], - [-12338, 10], - [-10758, 0], - [-609, 0], - [-550, 0], - [8551, -2], - [-8001, 0], - [6850, -42], - [-167, 0], - [6953, 0], - [6415, 0], - [5222, 0], - [168, -1], - [3268, 0], - [104, 0], - [-3250, 0], - [3353, 0], - [3070, 0], - [3272, 0], - [-3045, 0], - [-2768, 0], - [3041, 0], - [2695, 0], - [2719, 0], - [2720, 0], - [-51, 0], - [-2206, 0], - [-199, 0], - [-1900, 0], - [-41, 0], - [1313, 0], - [1233, 0], - [-81, 0], - [1232, 0], - [-20, 0], - [1207, 0], - [40, 0], - [1129, 0], - [1266, 0], - [-1062, 0], - [-1129, 0], - [-9, 0], - [35, 0], - [-107, 0], - [1073, 0], - [854, 0], - [-553, 0], - [-710, 0], - [647, 0], - [-700, 0], - [672, 0], - [663, 0], - [-594, 0], - [-610, 0], - [-556, 0] -]; -function nutationDpsi(l, lp, F, D, Om, T) { - let dpsi = 0; - for (const row of NUT_COEFFS) { - const arg = row[0] * l + row[1] * lp + row[2] * F + row[3] * D + row[4] * Om; - dpsi += (row[5] + row[6] * T) * Math.sin(arg); - } - return dpsi / 1e7; -} -function nutationDeps(l, lp, F, D, Om, T) { - let deps = 0; - for (let i = 0; i < NUT_COEFFS.length; i++) { - const row = NUT_COEFFS[i]; - const arg = row[0] * l + row[1] * lp + row[2] * F + row[3] * D + row[4] * Om; - const obliq = NUT_OBLIQ_COEFFS[i]; - deps += (obliq[0] + obliq[1] * T) * Math.cos(arg); - } - return deps / 1e7; -} -function meanObliquity(T) { - const T2 = T * T; - const T3 = T2 * T; - return (84381.448 - 46.815 * T - 59e-5 * T2 + 1813e-6 * T3) * ARCSEC_TO_RAD; -} -function trueObliquity(T) { - const eps0 = meanObliquity(T); - const args = delaunayArgs(T); - const depsAs = nutationDeps(args.l, args.lp, args.F, args.D, args.Om, T); - return eps0 + depsAs * ARCSEC_TO_RAD; -} -function normalizeDegrees(deg) { - return (deg % 360 + 360) % 360; -} -function normalizeRadians(rad) { - const TWO_PI2 = 2 * Math.PI; - return (rad % TWO_PI2 + TWO_PI2) % TWO_PI2; -} -function precessionInLongitude(T) { - const T2 = T * T; - const T3 = T2 * T; - return 5028.796195 * T + 1.1054348 * T2 + -7964e-8 * T3; -} -function eclipticToEquatorial(lambda, beta, eps) { - const sinLam = Math.sin(lambda); - const cosLam = Math.cos(lambda); - const sinBeta = Math.sin(beta); - const cosBeta = Math.cos(beta); - const sinEps = Math.sin(eps); - const cosEps = Math.cos(eps); - const ra = Math.atan2( - sinLam * cosEps - sinBeta / cosBeta * sinEps, - cosLam - ); - const dec = Math.asin( - sinBeta * cosEps + cosBeta * sinEps * sinLam - ); - return [ra, dec]; -} -function greenwichMeanSiderealTime(date) { - const T = dateToJulianCenturies(date); - const jd = T * 36525 + 2451545; - const jd0 = Math.floor(jd - 0.5) + 0.5; - const T0 = (jd0 - 2451545) / 36525; - const ut = (jd - jd0) * 24; - const gmst0 = 24110.54841 + 8640184812866e-6 * T0 + 0.093104 * T0 * T0 - 62e-7 * T0 * T0 * T0; - const gmstDeg = gmst0 / 240 + ut * 15 * 1.00273790935; - return (gmstDeg % 360 + 360) % 360; -} -function equatorialToHorizontal(ra, dec, lst, lat) { - const H = (lst - ra) * DEG_TO_RAD; - const decRad = dec * DEG_TO_RAD; - const latRad = lat * DEG_TO_RAD; - const sinAlt = Math.sin(decRad) * Math.sin(latRad) + Math.cos(decRad) * Math.cos(latRad) * Math.cos(H); - const altitude = Math.asin(sinAlt) * RAD_TO_DEG; - const y = -Math.cos(decRad) * Math.sin(H); - const x = Math.sin(decRad) * Math.cos(latRad) - Math.cos(decRad) * Math.sin(latRad) * Math.cos(H); - let azimuth = Math.atan2(y, x) * RAD_TO_DEG; - azimuth = (azimuth % 360 + 360) % 360; - return { azimuth, altitude }; -} - -// src/solar-longitude.ts -function solarEclipticState(jdeTT) { - const tau = (jdeTT - 2451545) / 365250; - const T = (jdeTT - 2451545) / 36525; - let L = evaluateVsopSeries(EARTH_L, tau); - const R = evaluateVsopSeries(EARTH_R, tau); - const tau2 = tau * tau; - L += (-0.106674 - 0.616597 * tau2 + 0.315446 * tau2 * tau2 - 0.050315 * tau2 * tau2 * tau2) / 206264.806; - const geoTrue = L + Math.PI; - const args = delaunayArgs(T); - const dpsi = nutationDpsi(args.l, args.lp, args.F, args.D, args.Om, T); - const apparent = geoTrue + dpsi * ARCSEC_TO_RAD + -20.4898 / R * ARCSEC_TO_RAD; - return { - trueLongitudeDegrees: normalizeRadians(geoTrue) * RAD_TO_DEG, - apparentLongitudeDegrees: normalizeRadians(apparent) * RAD_TO_DEG, - radiusAu: R - }; -} -function getSunLongitude(date) { - return solarEclipticState(dateToJD_TT(date)).apparentLongitudeDegrees; -} -function crossesTarget(lon1, lon2, target) { - lon1 = normalizeDegrees(lon1); - lon2 = normalizeDegrees(lon2); - target = normalizeDegrees(target); - const forward = normalizeDegrees(lon2 - lon1); - if (forward > 180) return false; - const toTarget = normalizeDegrees(target - lon1); - return toTarget <= forward; -} -function findCrossingMoment(lonAt, targetLongitude, startMs, searchDays) { - const target = normalizeDegrees(targetLongitude); - const dayMs = 864e5; - let prevLon = lonAt(startMs); - let lo = null; - let hi = null; - for (let d = 1; d <= searchDays; d++) { - const currentMs = startMs + d * dayMs; - const currentLon = lonAt(currentMs); - if (crossesTarget(prevLon, currentLon, target)) { - lo = startMs + (d - 1) * dayMs; - hi = currentMs; - break; - } - prevLon = currentLon; - } - if (lo === null || hi === null) return null; - let bracketLo = lo; - let bracketHi = hi; - while (bracketHi - bracketLo > 1e3) { - const mid = bracketLo + Math.floor((bracketHi - bracketLo) / 2); - if (crossesTarget(lonAt(bracketLo), lonAt(mid), target)) { - bracketHi = mid; - } else { - bracketLo = mid; - } - } - return new Date(bracketLo + Math.floor((bracketHi - bracketLo) / 2)); -} -function findSunLongitudeMoment(targetLongitude, startDate, searchDays) { - return findCrossingMoment( - (ms) => getSunLongitude(new Date(ms)), - targetLongitude, - startDate.getTime(), - searchDays - ); -} -function findSunLongitudeMomentWithDeltaT(targetLongitude, startDate, searchDays, deltaT2) { - const lonAt = (ms) => { - const jdUT = ms / 864e5 + 24405875e-1; - const d = new Date(ms); - const decimalYear = d.getUTCFullYear() + (d.getUTCMonth() + 0.5) / 12; - return solarEclipticState(jdUT + deltaT2(decimalYear) / 86400).apparentLongitudeDegrees; - }; - return findCrossingMoment(lonAt, targetLongitude, startDate.getTime(), searchDays); -} -function equationOfTimeVSOP(date) { - const T = dateToJulianCenturies(date); - const T2 = T * T; - const lambdaDeg = getSunLongitude(date); - const lambda = lambdaDeg * DEG_TO_RAD; - const eps0 = meanObliquity(T); - const args = delaunayArgs(T); - const depsAs = nutationDeps(args.l, args.lp, args.F, args.D, args.Om, T); - const eps = eps0 + depsAs * ARCSEC_TO_RAD; - const alpha2 = Math.atan2(Math.cos(eps) * Math.sin(lambda), Math.cos(lambda)); - const alphaDeg = normalizeDegrees(alpha2 * RAD_TO_DEG); - const L0 = normalizeDegrees(280.46646 + 36000.76983 * T + 3032e-7 * T2); - let E = alphaDeg - L0 + 57183e-7; - E = ((E + 180) % 360 + 360) % 360 - 180; - return E * 4; -} - -// src/solar-terms.ts -var SOLAR_TERM_NAMES = [ - "\u5C0F\u5BD2", - "\u5927\u5BD2", - "\u7ACB\u6625", - "\u96E8\u6C34", - "\u9A5A\u87C4", - "\u6625\u5206", - "\u6E05\u660E", - "\u7A40\u96E8", - "\u7ACB\u590F", - "\u5C0F\u6EFF", - "\u8292\u7A2E", - "\u590F\u81F3", - "\u5C0F\u6691", - "\u5927\u6691", - "\u7ACB\u79CB", - "\u8655\u6691", - "\u767D\u9732", - "\u79CB\u5206", - "\u5BD2\u9732", - "\u971C\u964D", - "\u7ACB\u51AC", - "\u5C0F\u96EA", - "\u5927\u96EA", - "\u51AC\u81F3" -]; -var SOLAR_TERM_LONGITUDES = [ - 285, - 300, - 315, - 330, - 345, - 0, - 15, - 30, - 45, - 60, - 75, - 90, - 105, - 120, - 135, - 150, - 165, - 180, - 195, - 210, - 225, - 240, - 255, - 270 -]; -function solarTermForLongitude(deg) { - const offset = ((deg - SOLAR_TERM_LONGITUDES[0]) % 360 + 360) % 360; - return SOLAR_TERM_NAMES[Math.floor(offset / 15) % 24]; -} -var MONTH_BOUNDARY_INDICES = [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22]; -function findSolarTermMoment(targetLongitude, year, startMonth = 1) { - const startDate = new Date(Date.UTC(year, startMonth - 1, 1)); - const result = findSunLongitudeMoment(targetLongitude, startDate, 120); - if (!result) { - throw new Error(`Could not find solar longitude ${targetLongitude}\xB0 in year ${year}`); - } - return result; -} -function findSolarTermMomentWithDeltaT(targetLongitude, year, startMonth, deltaT2) { - const startDate = new Date(Date.UTC(year, startMonth - 1, 1)); - const result = findSunLongitudeMomentWithDeltaT(targetLongitude, startDate, 120, deltaT2); - if (!result) { - throw new Error(`Could not find solar longitude ${targetLongitude}\xB0 in year ${year}`); - } - return result; -} -var solarTermsCache = /* @__PURE__ */ new Map(); -function getSolarTermsForYear(year) { - const cached = solarTermsCache.get(year); - if (cached) return cached; - const terms = []; - for (let i = 0; i < 24; i++) { - const longitude = SOLAR_TERM_LONGITUDES[i]; - const name = SOLAR_TERM_NAMES[i]; - const startMonth = i < 2 ? 1 : Math.floor(i / 2) + 1; - const date = findSolarTermMoment(longitude, year, startMonth); - terms.push({ name, longitude, date }); - } - solarTermsCache.set(year, terms); - if (solarTermsCache.size > 10) { - const firstKey = solarTermsCache.keys().next().value; - if (firstKey !== void 0) solarTermsCache.delete(firstKey); - } - return terms; -} -function findSpringStart(year) { - const terms = getSolarTermsForYear(year); - return terms[2].date; -} -function getMonthBoundaryTerms(year) { - const all = getSolarTermsForYear(year); - return MONTH_BOUNDARY_INDICES.map((i) => all[i]); -} -function getSolarMonthExact(date) { - const year = date.getFullYear(); - const jieTerms = getMonthBoundaryTerms(year); - const prevJieTerms = getMonthBoundaryTerms(year - 1); - for (let j = 11; j >= 0; j--) { - if (date >= jieTerms[j].date) { - const monthIndex = (j - 1 + 12) % 12; - const effectiveYear = j >= 1 ? year : year - 1; - return { monthIndex, effectiveYear }; - } - } - if (date >= prevJieTerms[11].date) { - return { monthIndex: 10, effectiveYear: year - 1 }; - } - return { monthIndex: 11, effectiveYear: year - 1 }; -} - -// src/four-pillars.ts -function utcDays(year, month, day) { - return Math.floor(Date.UTC(year, month - 1, day) / 864e5); -} -function computeFourPillars(date) { - const year = date.getFullYear(); - const month = date.getMonth() + 1; - const day = date.getDate(); - const hour = date.getHours(); - const springStart = findSpringStart(year); - const effectiveYear = date >= springStart ? year : year - 1; - const yearStemIdx = ((effectiveYear - 4) % 10 + 10) % 10; - const yearBranchIdx = ((effectiveYear - 4) % 12 + 12) % 12; - const { monthIndex: solarMonthIdx } = getSolarMonthExact(date); - const monthBranchIdx = (solarMonthIdx + 2) % 12; - const firstMonthStem = (yearStemIdx % 5 * 2 + 2) % 10; - const monthStemIdx = (firstMonthStem + solarMonthIdx) % 10; - const days = utcDays(year, month, day); - const dayStemBranchIdx = (days % 60 + 17 + 60) % 60; - const dayStemIdx = dayStemBranchIdx % 10; - const dayBranchIdx = dayStemBranchIdx % 12; - let hourBranchIdx; - let effectiveDayStemIdx = dayStemIdx; - if (hour >= 23) { - hourBranchIdx = 0; - effectiveDayStemIdx = (dayStemIdx + 1) % 10; - } else { - hourBranchIdx = Math.floor((hour + 1) / 2); - } - const firstHourStem = effectiveDayStemIdx % 5 * 2; - const hourStemIdx = (firstHourStem + hourBranchIdx) % 10; - return { - year: { stem: stemByIndex(yearStemIdx), branch: branchByIndex(yearBranchIdx) }, - month: { stem: stemByIndex(monthStemIdx), branch: branchByIndex(monthBranchIdx) }, - day: { stem: stemByIndex(dayStemIdx), branch: branchByIndex(dayBranchIdx) }, - hour: { stem: stemByIndex(hourStemIdx), branch: branchByIndex(hourBranchIdx) } - }; -} - -// src/true-solar-time.ts -function equationOfTime(date) { - return equationOfTimeVSOP(date); -} -function trueSolarTime(clockTime, longitude, standardMeridian) { - const meridian = standardMeridian ?? -clockTime.getTimezoneOffset() / 60 * 15; - const eot = equationOfTime(clockTime); - const longitudeCorrection = (longitude - meridian) * 4; - const totalCorrection = longitudeCorrection + eot; - const trueSolarTimeMs = clockTime.getTime() + totalCorrection * 6e4; - return { - trueSolarTime: new Date(trueSolarTimeMs), - equationOfTime: eot, - longitudeCorrection, - totalCorrection - }; -} - -// src/moon/elpmpp02-data.ts -var MAIN_LONG = [ - [0, 2, 0, 0, -0.001995507025599498, 8168140899333462e-19, -0.08936963282973776, -5896303989654177e-19, 1939254724438144e-21, -8726646259971647e-22], - [0, 4, 0, 0, 20378658271758235e-22, -18907733563271905e-22, 1825323509377403e-19, 27634379823243548e-22, 0, 0], - [0, 6, 0, 0, -28604007185462624e-25, 0, -3878509448876288e-22, 0, 0, 0], - [0, -6, 1, 0, 7757018897752577e-25, 0, 969627362219072e-22, 0, 0, 0], - [0, -4, 1, 0, -3887720908817369e-22, 3733065344543427e-21, -350035477761085e-19, -7078279744199225e-21, 0, 0], - [0, -2, 1, 0, 19166590132026716e-20, -0.00191617759321733, 0.008670068503386164, 0.0034950703084867555, -12605155708847936e-21, 4363323129985824e-21], - [0, 0, 1, 0, 0.10975963574163396, 0, 0, 1.9999999879078123, 0, 0], - [0, 2, 1, 0, -21865252158418029e-20, 8440606188117021e-20, -0.009792169768314186, -0.004024923180571368, 43633231299858235e-23, -969627362219072e-22], - 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[5, -2, 0, 0, 142e-5, 0.07, 0.06, 0, 0, 0.55], - [5, 0, 0, 0, -814e-5, -0.25, 0, 0.07, 0, -3.17], - [5, -2, 1, 0, 2e-4, 0, 0, 0, 0, 0.08], - [5, 0, 1, 0, -89e-5, 0, 0, 0, 0, -0.35], - [5, 0, 2, 0, -6e-5, 0, 0, 0, 0, -0.02], - [5, 0, -4, 1, 3e-5, 0, 0, 0, 0, 0], - [5, 0, -3, 1, 38e-5, 0.04, 0, 0.02, 0.02, 0.15], - [5, 0, -2, 1, -256e-5, -0.07, 0, -0.1, -0.15, -1], - [5, -2, -1, 1, -15e-5, 0, 0, 0, 0, -0.06], - [5, 0, -1, 1, -311e-5, -0.16, 0, -0.08, -0.19, -1.21], - [5, -2, 0, 1, -9e-5, 0, 0, 0, 0, -0.03], - [5, 0, 0, 1, -111e-5, -0.07, 0, -0.03, -0.07, -0.43], - [5, 0, 1, 1, -2e-4, 0, 0, 0, 0, -0.08], - [5, 0, 2, 1, -3e-5, 0, 0, 0, 0, 0], - [5, 0, -1, 2, 7e-5, 0, 0, 0, 0, 0.03], - [5, 0, 0, 2, 3e-5, 0, 0, 0, 0, 0], - [6, 0, -2, -4, -3e-5, 0, 0, 0, 0, 0], - [6, 0, -1, -4, -3e-5, 0, 0, 0, 0, 0], - [6, 0, -3, -3, -12e-5, 0, 0, 0, -0.02, 0], - [6, 0, -2, -3, -44e-5, -0.03, 0, 0, -0.08, 0], - [6, 0, -1, -3, -43e-5, -0.04, 0, 0, -0.08, 0], - [6, 0, 0, -3, -17e-5, 0, 0, 0, -0.03, 0], - [6, 0, 1, -3, -3e-5, 0, 0, 0, 0, 0], - [6, 0, -4, -2, -7e-5, 0, 0, 0, 0, 0], - [6, 0, -3, -2, -195e-5, -0.12, 0, -0.11, -0.23, 0], - [6, -2, -2, -2, -3e-5, 0, 0, 0, 0, 0], - [6, 0, -2, -2, -618e-5, -0.44, 0, -0.24, -0.74, 0], - [6, -2, -1, -2, -11e-5, 0, 0, 0, 0, 0], - [6, 0, -1, -2, -541e-5, -0.44, 0, -0.14, -0.65, 0], - [6, -2, 0, -2, -5e-5, 0, 0, 0, 0, 0], - [6, 0, 0, -2, -194e-5, -0.17, 0, -0.04, -0.23, 0], - [6, 0, 1, -2, -35e-5, -0.03, 0, 0, -0.04, 0], - [6, 0, 2, -2, -5e-5, 0, 0, 0, 0, 0], - [6, 0, -4, -1, -85e-5, -0.06, 0, -0.06, -0.05, 0], - [6, -2, -3, -1, -3e-5, 0, 0, 0, 0, 0], - [6, 0, -3, -1, -0.02436, -1.43, 0, -1.33, -1.45, 0], - [6, 2, -3, -1, 4e-5, 0, 0, 0, 0, 0], - [6, -2, -2, -1, -41e-5, 0, 0, 0, -0.02, 0], - [6, 0, -2, -1, -0.06678, -4.61, 0.04, -2.6, -3.98, 0], - [6, 2, -2, -1, 4e-5, 0, 0, 0, 0, 0], - [6, -2, -1, -1, -121e-5, -0.07, -0.05, -0.02, -0.07, 0], - [6, 0, -1, -1, -0.05191, -4.1, 0.03, -1.42, -3.09, 0], - [6, -2, 0, -1, -49e-5, -0.04, -0.02, 0, -0.03, 0], - [6, 0, 0, -1, -0.01709, -1.47, 0, -0.42, -1.01, 0], - [6, 0, 1, -1, -296e-5, -0.26, 0, -0.11, -0.18, 0], - [6, 0, 2, -1, -39e-5, -0.04, 0, -0.02, -0.02, 0], - [6, 0, 3, -1, -5e-5, 0, 0, 0, 0, 0], - [6, 0, -5, 0, -9e-5, 0, 0, 0, 0, 0], - [6, 0, -4, 0, -659e-5, -0.45, 0, -0.48, 0, 0], - [6, 2, -4, 0, 12e-5, 0, 0, 0, 0, 0], - [6, -2, -3, 0, -27e-5, 0, 0, 0, 0, 0], - [6, 0, -3, 0, -0.18316, -10.48, 0.12, -10.02, 0.05, -0.02], - [6, 2, -3, 0, 28e-5, 0, 0, 0, 0, 0], - [6, -2, -2, 0, -326e-5, -0.13, -0.14, -0.12, 0, 0], - [6, 0, -2, 0, -0.4225, -28.36, 0.26, -16.58, 0.19, 0], - [6, 2, -2, 0, 2e-4, 0, 0, 0, 0, 0], - [6, -2, -1, 0, -785e-5, -0.44, -0.35, -0.13, 0, 0], - [6, 0, -1, 0, -0.28663, -21.86, 0.16, -8.12, 0.18, -0.03], - [6, 2, -1, 0, 6e-5, 0, 0, 0, 0, 0], - [6, -4, 0, 0, -4e-5, 0, 0, 0, 0, 0], - [6, -2, 0, 0, -27e-4, -0.19, -0.12, 0, 0, 0], - [6, 0, 0, 0, -0.08587, -7.1, 0.05, -2.25, 0.07, -0.02], - [6, 0, 1, 0, -0.0142, -1.2, 0, -0.55, 0, 0], - [6, -2, 2, 0, 4e-5, 0, 0, 0, 0, 0], - [6, 0, 2, 0, -182e-5, -0.16, 0, -0.1, 0, 0], - [6, 0, 3, 0, -2e-4, 0, 0, 0, 0, 0], - [6, 0, 4, 0, -2e-5, 0, 0, 0, 0, 0], - [6, 0, -4, 1, -24e-5, -0.04, 0, 0, 0, 0], - [6, 0, -3, 1, 278e-5, -0.06, 0, 0.15, 0.17, 0], - [6, -2, -2, 1, 19e-5, 0, 0, 0, 0, 0], - [6, 0, -2, 1, 948e-5, 0.35, 0, 0.37, 0.57, 0], - [6, -2, -1, 1, 42e-5, 0.03, 0, 0, 0.02, 0], - [6, 0, -1, 1, 78e-4, 0.49, 0, 0.22, 0.47, 0], - [6, -2, 0, 1, 16e-5, 0, 0, 0, 0, 0], - [6, 0, 0, 1, 272e-5, 0.21, 0, 0.07, 0.16, 0], - [6, 0, 1, 1, 52e-5, 0.04, 0, 0.02, 0.03, 0], - [6, 0, 2, 1, 8e-5, 0, 0, 0, 0, 0], - [6, 0, -4, 2, 4e-5, 0, 0, 0, 0, 0], - [6, 0, -3, 2, 34e-5, 0.03, 0, 0.02, 0.04, 0], - [6, 0, -2, 2, 44e-5, 0.04, 0, 0, 0.05, 0], - [6, 0, -1, 2, 14e-5, 0, 0, 0, 0, 0], - [7, 0, -4, -1, 2e-5, 0, 0, 0, 0, 0], - [7, 0, -3, -1, 11e-5, 0, 0, 0, 0, 0.04], - [7, 0, -2, -1, 6e-5, 0, 0, 0, 0, 0.02], - [7, 0, -1, -1, -2e-5, 0, 0, 0, 0, 0], - [7, 0, -4, 0, 15e-5, 0, 0, 0, 0, 0.06], - [7, 0, -3, 0, 66e-5, 0.05, 0, 0.04, 0, 0.26], - [7, -2, -2, 0, 4e-5, 0, 0, 0, 0, 0], - [7, 0, -2, 0, 32e-5, 0.04, 0, 0, 0, 0.13], - [7, -2, -1, 0, 4e-5, 0, 0, 0, 0, 0], - [7, 0, -1, 0, -8e-5, 0, 0, 0, 0, -0.03], - [7, 0, 0, 0, -7e-5, 0, 0, 0, 0, -0.03], - [7, 0, -3, 1, -3e-5, 0, 0, 0, 0, 0], - [7, 0, -2, 1, -7e-5, 0, 0, 0, 0, -0.03], - [7, 0, -1, 1, -4e-5, 0, 0, 0, 0, 0], - [8, 0, -4, -2, -3e-5, 0, 0, 0, 0, 0], - [8, 0, -3, -2, -13e-5, 0, 0, 0, 0, 0], - [8, 0, -2, -2, -16e-5, 0, 0, 0, -0.02, 0], - [8, 0, -1, -2, -1e-4, 0, 0, 0, 0, 0], - [8, 0, 0, -2, -3e-5, 0, 0, 0, 0, 0], - [8, 0, -4, -1, -33e-5, -0.03, 0, -0.02, -0.02, 0], - [8, 0, -3, -1, -109e-5, -0.1, 0, -0.06, -0.07, 0], - [8, -2, -2, -1, -2e-5, 0, 0, 0, 0, 0], - [8, 0, -2, -1, -126e-5, -0.12, 0, -0.06, -0.08, 0], - [8, -2, -1, -1, -2e-5, 0, 0, 0, 0, 0], - [8, 0, -1, -1, -7e-4, -0.08, 0, -0.03, -0.04, 0], - [8, 0, 0, -1, -22e-5, -0.02, 0, 0, 0, 0], - [8, 0, 1, -1, -4e-5, 0, 0, 0, 0, 0], - [8, 0, -5, 0, -9e-5, 0, 0, 0, 0, 0], - [8, 0, -4, 0, -184e-5, -0.14, 0, -0.13, 0, 0], - [8, -2, -3, 0, -4e-5, 0, 0, 0, 0, 0], - [8, 0, -3, 0, -539e-5, -0.46, 0, -0.31, 0, 0], - [8, -2, -2, 0, -12e-5, 0, 0, 0, 0, 0], - [8, 0, -2, 0, -559e-5, -0.53, 0, -0.25, 0, 0], - [8, -2, -1, 0, -9e-5, 0, 0, 0, 0, 0], - [8, 0, -1, 0, -285e-5, -0.29, 0, -0.11, 0, 0], - [8, -2, 0, 0, -2e-5, 0, 0, 0, 0, 0], - [8, 0, 0, 0, -83e-5, -0.09, 0, -0.03, 0, 0], - [8, 0, 1, 0, -16e-5, 0, 0, 0, 0, 0], - [8, 0, 2, 0, -2e-5, 0, 0, 0, 0, 0], - [8, 0, -4, 1, 4e-5, 0, 0, 0, 0, 0], - [8, 0, -3, 1, 15e-5, 0, 0, 0, 0, 0], - [8, 0, -2, 1, 19e-5, 0, 0, 0, 0, 0], - [8, 0, -1, 1, 11e-5, 0, 0, 0, 0, 0], - [8, 0, 0, 1, 4e-5, 0, 0, 0, 0, 0], - [10, 0, -3, -1, -3e-5, 0, 0, 0, 0, 0], - [10, 0, -2, -1, -2e-5, 0, 0, 0, 0, 0], - [10, 0, -5, 0, -2e-5, 0, 0, 0, 0, 0], - [10, 0, -4, 0, -7e-5, 0, 0, 0, 0, 0], - [10, 0, -3, 0, -1e-4, 0, 0, 0, 0, 0], - [10, 0, -2, 0, -7e-5, 0, 0, 0, 0, 0], - [10, 0, -1, 0, -3e-5, 0, 0, 0, 0, 0] -]; -var PERT_LONG_T0 = [ - [0, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 6909301607260658e-20, 2.6783098746173137], - [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 3424234181539617e-20, 3.1415762474948243], - [2, 0, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 5541395367122112e-21, -3.1395235990409662], - 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[0, 1, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 3055644432514035e-21, 2.678310090063201], - [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 22100716467057136e-22, 3.1415795636204034], - [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2015418953740669e-21, -3.1415806108179547], - [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 15815591905157603e-22, 3.141577643758226], - [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 14474112449523867e-22, 3.141580087219179], - [1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 41217466339423517e-23, 1.686830150255274], - [0, 1, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 33773121218359137e-23, 2.678310766644647], - [0, 1, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 32725370974490743e-23, 0.4632893541039368], - [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 38742879501703504e-23, -1.4532739327539321], - [2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 40481942372644946e-23, -3.141579912686254], - [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 38993564371638307e-23, 3.1415772946923757], - [2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 35551387235762366e-23, 3.1415802617521043], - 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[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1325815954894502e-22, 1.803594934576249], - [0, 1, 1, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0, 12110146034048095e-23, -2.7397897045430106], - [0, 1, -1, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0, 1210952880861112e-22, -0.40180218444118415], - [2, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 14762828545124723e-23, 3.1100933560873454], - [2, -1, -1, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 15003731668373322e-23, 3.1414349568042597], - [2, -1, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 10574687646954313e-23, 2.678309820883811], - [2, -1, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 1055834726500037e-22, 0.4632825080373195], - [2, -1, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 11332660896766288e-23, -1.284892234051565], - [2, -1, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0, 11326217080039466e-23, -1.8566440402595719], - [2, 1, -1, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 13886648435875843e-23, 3.141350710933258], - [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 11654920893875644e-23, -3.1415811344167297], - [2, -1, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 11439545404362042e-23, -3.1408792090746602], - [2, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 10892261860013342e-23, 3.135317807273606], - [2, -1, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 10643320530173722e-23, 6655042170643252e-19] -]; -var PERT_LAT_T1 = [ - [2, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36021656506438526e-23, 3.141592653589793], - [2, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1475288031616318e-22, 0], - [2, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10806496951931557e-23, 3.141592653589793] -]; -var PERT_LAT_T2 = []; -var PERT_DIST_T0 = [ - [2, 0, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 1.05861899454692, 1.57286475842235], - [0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 0.7280520195337479, 1.1075151549609825], - [0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 0.68280880054649, -1.1074996841672626], - [2, 0, -1, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0.5982646659557679, 1.5705635207644568], - [2, 0, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0, 0.4102063096352447, -1.3952025962698975], - [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0.4564699999999769, -1.5708183179434718], - 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[2, 0, -2, 0, 0, -5, 5, 0, 0, 0, 0, 0, 0, 10658434060926229e-20, -1.5587142686751843], - [2, 0, 0, 0, 0, 16, -18, 0, 0, 0, 0, 0, 0, 10197485998576104e-20, 1.512075567710698], - [2, -2, -1, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 10758372172587323e-20, -1.5704441698020595], - [2, 0, -1, 0, 0, 0, -4, 0, 5, 0, 0, 0, 0, 10156307729652022e-20, -1.6286245887092412], - [2, 0, 0, 0, 0, 0, 2, 0, 0, -3, 0, 0, 0, 10162880199726895e-20, -3.0886842351824595], - [2, 0, -1, 0, 0, 0, 6, 0, -6, 0, 0, 0, 0, 1028713295324319e-19, 1.535204674363262], - [4, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1038015167787094e-19, -3.1166123134217396], - [2, -2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 10017464756616927e-20, 1.507660632423352], - [3, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 10506710316707535e-20, 1.5628218801376752], - [4, -2, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 10537354304223342e-20, 1.5727626531173244], - [2, 0, 1, 0, 0, 14, -14, 0, 0, 0, 0, 0, 0, 10483320576757968e-20, -1.5713636937475508], - [0, 0, 2, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, 10350317149136423e-20, -3.132624108431576], - [2, 0, 0, 0, -3, 0, 2, 0, 0, 0, 0, 0, 0, 10286907776116645e-20, 0.006287971112770894], - [0, 0, 1, 0, 0, -16, 16, 0, 0, 0, 0, 0, 0, 10343697252000206e-20, -1.5700934029617668], - [4, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 10179459697039431e-20, 3.1265435279625517], - [2, 0, -1, 0, 0, -18, 18, 0, 0, 0, 0, 0, 0, 10294318674654857e-20, -1.5726049341240098], - [2, 0, 1, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 10286615917185163e-20, -1.5692044404355663], - [2, -2, 1, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 10162985949567205e-20, 1.557146051977993], - [4, 0, -1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 10073090849571845e-20, 1.5906229144197972], - [1, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0, 10239093399838701e-20, 1.5700164098586704], - [0, 0, 1, 0, 0, 19, -19, 0, 0, 0, 0, 0, 0, 10178196647139997e-20, 1.5667114319167632], - [1, 0, -1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 10179672767107139e-20, 1.5673866155194949], - [2, -2, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 10062959282437415e-20, 1.5802680943765246], - [0, 2, -1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 10057105244584317e-20, -1.57857760532689], - [2, 0, 1, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 10069621296776179e-20, -3.140875968687578], - [2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10000000000000141e-20, -1.5719686644534603], - [0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 10000000000000427e-20, 1.5707739865804713], - [0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 10000000000000053e-20, -1.5708183179434718], - [2, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1000000000000034e-19, 1.5708148272849678], - [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 10000000000000297e-20, 1.5707821896279555], - [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1000000000000007e-19, 1.5707903926754399] -]; -var PERT_DIST_T1 = [ - [2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.51395, 1.5707963267948966], - [2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.38245, 1.5707963267948966], - [0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.32654, 1.5707963267948966], - [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.26396, -1.5707963267948966], - [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.12302, -1.5707963267948966], - [2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.07754, -1.5707963267948966], - [2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06068, -1.5707963267948966], - [2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0497, 1.5707963267948966], - [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.04194, 1.5707963267948966], - [2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03222, 1.5707963267948966], - [2, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02529, -1.5707963267948966], - [2, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0249, 1.5707963267948966], - [0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.01764, 1.5707963267948966], - [0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 0.012568406893972081, -0.4312543246345804], - [0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 0.011784003379098401, 0.43125452092062266], - [0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.01449, -1.5707963267948966], - [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.013690897470438234, -1.5393863453696932], - [2, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.01186, -1.5707963267948966], - [0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.01066, 1.5707963267948966], - [4, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 993e-5, 1.5707963267948966], - [2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 658e-5, -1.5707963267948966], - [2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.006475362200559175, -1.5677150651018386], - [0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 587e-5, -1.5707963267948966], - [0, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0.005227942332227984, -1.4492325250608402], - [0, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0, 0.0052275372671141095, 1.4492333367993613], - [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 536e-5, -1.5707963267948966], - [4, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 476e-5, 1.5707963267948966], - [2, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 0.0035343517042719782, -0.43127104139345274], - [2, 0, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 0.003516139464821104, 0.4312731330619988], - [4, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 394e-5, 1.5707963267948966], - [2, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 331e-5, 1.5707963267948966], - [2, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31e-4, 1.5707963267948966], - [2, 0, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 0.0023260935648086235, -0.4312868243111861], - [2, 0, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0, 0.0022062438129107935, -0.5083025220784521], - [2, 0, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 0.0021868024776725554, 0.4312880492868749], - [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 235e-5, 1.5707963267948966], - [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 235e-5, -1.5707963267948966], - [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 233e-5, 1.5707963267948966], - [1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 214e-5, -1.5707963267948966], - [2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 213e-5, 1.5707963267948966], - [0, 0, 1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0.001487896818729288, 0.270322768415074], - [0, 0, 1, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0.0014872760675947584, -0.2704370988767173], - [2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 173e-5, -1.5707963267948966], - [2, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 165e-5, -1.5707963267948966], - [4, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 146e-5, -1.5707963267948966], - [4, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14e-4, 1.5707963267948966], - [2, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0.0012699402436660329, -1.6473814778817284], - [2, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0, 0.0012688350196431452, 1.6473494783994291], - [1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126e-5, -1.5707963267948966], - [2, 0, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 125e-5, -1.5707963267948966], - [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114e-5, -1.5707963267948966], - [2, 0, -1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112e-5, 1.5707963267948966], - [0, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0, 87825392277995e-17, -0.294132552085147], - [0, 0, 2, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0, 8716679562304957e-19, 0.29456992575371443], - [0, 0, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106e-5, 1.5707963267948966], - [0, 0, 3, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 6872356547296724e-19, -0.431426427411862], - [2, 0, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 7068434139272482e-19, -1.907328606242111], - [2, 0, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0, 7044085979438361e-19, 1.9092414309489338], - [0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89e-5, -1.5707963267948966], - [0, 0, 1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 6446167448357038e-19, 0.4314409239884539], - [1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84e-5, -1.5707963267948966], - [0, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84e-5, -1.5707963267948966], - [2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 81e-5, -1.5707963267948966], - [0, 0, 1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0, 5927175323623941e-19, 1.2603336589911556], - [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 74e-5, -1.5707963267948966], - [1, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 5790285288804422e-19, -1.2472460461133759], - [0, 0, 1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 5567924894191712e-19, -1.2621911983056082], - [0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 69e-5, 1.5707963267948966], - [0, 0, 1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0, 5611748811540823e-19, -0.18601175284658267], - [0, 0, 1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0, 560575775141911e-18, 0.18612081045448747], - [2, 0, -1, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 4819339138368493e-19, -1.069857727839617], - [4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64e-5, 1.5707963267948966], - [3, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64e-5, -1.5707963267948966], - [0, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62e-5, 1.5707963267948966], - [4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 61e-5, -1.5707963267948966], - [4, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6e-4, -1.5707963267948966], - [2, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0, 4653704085870536e-19, 1.2626362126033566], - [1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5259282312498383e-19, 1.6884137586528976], - [1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5259282312498383e-19, -1.4531788949368958], - [0, 0, 1, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0, 4153197324612357e-19, -2.634729892312152], - [2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 45000000000003354e-20, 0.26088396260656577], - [2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55e-5, 1.5707963267948966], - [4, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54e-5, 1.5707963267948966], - [2, 0, -1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0, 4290804495809547e-19, 1.2624361801210613], - 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[2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14e-5, -1.5707963267948966], - [0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14e-5, -1.5707963267948966], - [0, 0, 1, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, 10905085975014206e-20, 1.9221159055289065], - [2, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 10001913494704076e-20, -0.9464938694240955], - [0, 0, 1, 0, 0, -3, 5, 0, 0, 0, 0, 0, 0, 1055993752149735e-19, -1.958765523724134], - [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1000000000000057e-19, 0.5029859135334717], - [6, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13e-5, 1.5707963267948966], - [4, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13e-5, -1.5707963267948966], - [3, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13e-5, -1.5707963267948966], - [0, 2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13e-5, 1.5707963267948966], - [0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 10149101534921004e-20, -1.2530848204339782], - [2, 0, -1, 0, 0, 0, 14, -23, 0, 0, 0, 0, 0, 11334847871294843e-20, 1.6355556075468696], - [4, 0, -1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12e-5, 1.5707963267948966], - [4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12e-5, -1.5707963267948966], - [2, -2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12e-5, 1.5707963267948966], - [2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 11000000000003241e-20, 1.479297091693308], - [2, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0, 11550314987776648e-20, 1.5744002602460803], - [2, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 11546447826408749e-20, -1.574635796579969], - [2, 0, -1, 0, 0, 0, 7, -10, 0, 0, 0, 0, 0, 11033330856068844e-20, -1.5835075044092386], - [4, 0, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11e-5, 1.5707963267948966], - [3, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1e-4, -1.5707963267948966], - [0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1e-4, 1.5707963267948966] -]; -var PERT_DIST_T2 = [ - [2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 149e-5, 1.5707963267948966], - [2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 111e-5, 1.5707963267948966], - [0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 95e-5, 1.5707963267948966], - [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77e-5, -1.5707963267948966], - [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36e-5, -1.5707963267948966], - [2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23e-5, -1.5707963267948966], - [2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18e-5, -1.5707963267948966], - [0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0, 1165011244295334e-19, -1.9820606433545078], - [0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0, 10925892459976593e-20, 1.9820513524573191], - [2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14e-5, 1.5707963267948966], - [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12e-5, 1.5707963267948966] -]; -var PERT_DIST_T3 = []; - -// src/moon/elpmpp02.ts -var PI = Math.PI; -var TWO_PI = 2 * PI; -var DEG = PI / 180; -var SEC = PI / 648e3; -var Dw1_0 = -0.07008; -var Dw2_0 = 0.20794; -var Dw3_0 = -0.07215; -var Deart_0 = -33e-5; -var Dperi = -749e-5; -var Dw1_1 = -0.35106; -var Dgam = 85e-5; -var De = -6e-5; -var Deart_1 = 732e-5; -var Dep = 224e-5; -var Dw2_1 = 0.08017; -var Dw3_1 = -0.04317; -var Dw1_2 = -0.03743; -var Dw1_3 = -18865e-8; -var Dw1_4 = -1024e-8; -var Dw2_2 = 470602e-8; -var Dw2_3 = -25213e-8; -var Dw3_2 = -26107e-7; -var Dw3_3 = -10712e-8; -var am = 0.074801329; -var alpha = 2571881e-9; -var dtsm = 2 * alpha / (3 * am); -var xa = 2 * alpha / 3; -var w11_rate = 173255934373604e-5; -var w11 = w11_rate * SEC; -var bp = [ - [0.311079095, -0.103837907], - [-4482398e-9, 668287e-9], - [-1102485e-9, -1298072e-9], - [1056062e-9, -178028e-9], - [50928e-9, -37342e-9] -]; -var w21_rate = (146434203171e-4 + Dw2_1) * SEC; -var w31_rate = (-69679195383e-4 + Dw3_1) * SEC; -var x2 = w21_rate / w11; -var x3 = w31_rate / w11; -var y2 = am * bp[0][0] + xa * bp[4][0]; -var y3 = am * bp[0][1] + xa * bp[4][1]; -var d21 = x2 - y2; -var d22 = w11 * bp[1][0]; -var d23 = w11 * bp[2][0]; -var d24 = w11 * bp[3][0]; -var d25 = y2 / am; -var d31 = x3 - y3; -var d32 = w11 * bp[1][1]; -var d33 = w11 * bp[2][1]; -var d34 = w11 * bp[3][1]; -var d35 = y3 / am; -var Cw2_1 = d21 * Dw1_1 + d25 * Deart_1 + d22 * Dgam + d23 * De + d24 * Dep; -var Cw3_1 = d31 * Dw1_1 + d35 * Deart_1 + d32 * Dgam + d33 * De + d34 * Dep; -var delnu_nu = (0.55604 + Dw1_1) * SEC / w11; -var dele = (0.01789 + De) * SEC; -var delg = (-0.08066 + Dgam) * SEC; -var delnp_nu = (-0.06424 + Deart_1) * SEC / w11; -var delep = (-0.12879 + Dep) * SEC; -var fB1 = -am * delnu_nu + delnp_nu; -var fB2 = delg; -var fB3 = dele; -var fB4 = delep; -var fB5 = -xa * delnu_nu + dtsm * delnp_nu; -var fA_lon_lat = 1; -var fA_dist = 1 - 2 / 3 * delnu_nu; -var ra0 = 384747.961370173 / 384747.980674318; -function mod2pi(x) { - return x - TWO_PI * Math.floor((x + PI) / TWO_PI); -} -function computeElpArguments(T) { - const T2 = T * T; - const T3 = T2 * T; - const T4 = T3 * T; - const w10 = (-142 + 18 / 60 + (59.95571 + Dw1_0) / 3600) * DEG; - const w1_1 = mod2pi((w11_rate + Dw1_1) * T * SEC); - const w12 = mod2pi((-6.8084 + Dw1_2) * T2 * SEC); - const w13 = mod2pi((6604e-6 + Dw1_3) * T3 * SEC); - const w14 = mod2pi((-3169e-8 + Dw1_4) * T4 * SEC); - const w20 = (83 + 21 / 60 + (11.67475 + Dw2_0) / 3600) * DEG; - const w21 = mod2pi((146434203171e-4 + Dw2_1 + Cw2_1) * T * SEC); - const w22 = mod2pi((-38.2631 + Dw2_2) * T2 * SEC); - const w23 = mod2pi((-0.045047 + Dw2_3) * T3 * SEC); - const w24 = mod2pi(21301e-8 * T4 * SEC); - const w30 = (125 + 2 / 60 + (40.39816 + Dw3_0) / 3600) * DEG; - const w31 = mod2pi((-69679195383e-4 + Dw3_1 + Cw3_1) * T * SEC); - const w32 = mod2pi((6.359 + Dw3_2) * T2 * SEC); - const w33 = mod2pi((7625e-6 + Dw3_3) * T3 * SEC); - const w34 = mod2pi(-3586e-8 * T4 * SEC); - const Ea0 = (100 + 27 / 60 + (59.13885 + Deart_0) / 3600) * DEG; - const Ea1 = mod2pi((129597742293e-3 + Deart_1) * T * SEC); - const Ea2 = mod2pi(-0.0202 * T2 * SEC); - const Ea3 = mod2pi(9e-6 * T3 * SEC); - const Ea4 = mod2pi(15e-8 * T4 * SEC); - const p0 = (102 + 56 / 60 + (14.45766 + Dperi) / 3600) * DEG; - const p1 = mod2pi(1161.24342 * T * SEC); - const p2 = mod2pi(0.529265 * T2 * SEC); - const p3 = mod2pi(-11814e-8 * T3 * SEC); - const p4 = mod2pi(11379e-9 * T4 * SEC); - const W1 = w10 + w1_1 + w12 + w13 + w14; - const W2 = w20 + w21 + w22 + w23 + w24; - const W3 = w30 + w31 + w32 + w33 + w34; - const Ea = Ea0 + Ea1 + Ea2 + Ea3 + Ea4; - const pomp = p0 + p1 + p2 + p3 + p4; - const Me = (-108 + 15 / 60 + 3.216919 / 3600) * DEG + mod2pi(53810162866888e-5 * T * SEC); - const Ve = (-179 + 58 / 60 + 44.758419 / 3600) * DEG + mod2pi(21066413645777e-5 * T * SEC); - const EM = (100 + 27 / 60 + 59.13885 / 3600) * DEG + mod2pi(129597742293e-3 * T * SEC); - const Ma = (-5 + 26 / 60 + 3.642778 / 3600) * DEG + mod2pi(6890507765936e-5 * T * SEC); - const Ju = (34 + 21 / 60 + 5.379392 / 3600) * DEG + mod2pi(1092566057335e-5 * T * SEC); - const Sa = (50 + 4 / 60 + 38.902495 / 3600) * DEG + mod2pi(439960933632e-5 * T * SEC); - const Ur = (-46 + 3 / 60 + 4.354234 / 3600) * DEG + mod2pi(154248257845e-5 * T * SEC); - const Ne = (-56 + 20 / 60 + 56.808371 / 3600) * DEG + mod2pi(786547.897 * T * SEC); - return { - W1: mod2pi(W1), - D: mod2pi(W1 - Ea + PI), - F: mod2pi(W1 - W3), - L: mod2pi(W1 - W2), - Lp: mod2pi(Ea - pomp), - zeta: mod2pi(W1 + 0.02438029560881907 * T), - Me: mod2pi(Me), - Ve: mod2pi(Ve), - EM: mod2pi(EM), - Ma: mod2pi(Ma), - Ju: mod2pi(Ju), - Sa: mod2pi(Sa), - Ur: mod2pi(Ur), - Ne: mod2pi(Ne) - }; -} -function mainSum(terms, args, isSine, fA) { - const { D, F, L, Lp } = args; - let sum = 0; - const trigFn = isSine ? Math.sin : Math.cos; - for (const t of terms) { - const phase = t[0] * D + t[1] * F + t[2] * L + t[3] * Lp; - const A_eff = fA * t[4] + fB1 * t[5] + fB2 * t[6] + fB3 * t[7] + fB4 * t[8] + fB5 * t[9]; - sum += A_eff * trigFn(phase); - } - return sum; -} -function pertSum(terms, args) { - const { D, F, L, Lp, Me, Ve, EM, Ma, Ju, Sa, Ur, Ne, zeta } = args; - let sum = 0; - for (const t of terms) { - const phase = t[14] + t[0] * D + t[1] * F + t[2] * L + t[3] * Lp + t[4] * Me + t[5] * Ve + t[6] * EM + t[7] * Ma + t[8] * Ju + t[9] * Sa + t[10] * Ur + t[11] * Ne + t[12] * zeta; - sum += t[13] * Math.sin(phase); - } - return sum; -} -function computeMoonPosition(T) { - const args = computeElpArguments(T); - const mainLong = mainSum(MAIN_LONG, args, true, fA_lon_lat); - const mainLat = mainSum(MAIN_LAT, args, true, fA_lon_lat); - const mainDist = mainSum(MAIN_DIST, args, false, fA_dist); - const pertLongT0 = pertSum(PERT_LONG_T0, args); - const pertLongT1 = pertSum(PERT_LONG_T1, args); - const pertLongT2 = pertSum(PERT_LONG_T2, args); - const pertLongT3 = pertSum(PERT_LONG_T3, args); - const pertLatT0 = pertSum(PERT_LAT_T0, args); - const pertLatT1 = pertSum(PERT_LAT_T1, args); - const pertLatT2 = pertSum(PERT_LAT_T2, args); - const pertDistT0 = pertSum(PERT_DIST_T0, args); - const pertDistT1 = pertSum(PERT_DIST_T1, args); - const pertDistT2 = pertSum(PERT_DIST_T2, args); - const pertDistT3 = pertSum(PERT_DIST_T3, args); - const T2 = T * T; - const T3 = T2 * T; - const longM = args.W1 + mainLong + pertLongT0 + mod2pi(pertLongT1 * T) + mod2pi(pertLongT2 * T2) + mod2pi(pertLongT3 * T3); - const latM = mainLat + pertLatT0 + mod2pi(pertLatT1 * T) + mod2pi(pertLatT2 * T2); - const r = ra0 * (mainDist + pertDistT0 + pertDistT1 * T + pertDistT2 * T2 + pertDistT3 * T3); - const cosLat = Math.cos(latM); - const x0 = r * Math.cos(longM) * cosLat; - const y0 = r * Math.sin(longM) * cosLat; - const z0 = r * Math.sin(latM); - const T4 = T3 * T; - const T5 = T4 * T; - const P2 = 10180391e-12 * T + 47020439e-14 * T2 - 5417367e-16 * T3 - 2507948e-18 * T4 + 463486e-20 * T5; - const Q = -113469002e-12 * T + 12372674e-14 * T2 + 1265417e-15 * T3 - 1371808e-18 * T4 - 320334e-20 * T5; - const sq = Math.sqrt(1 - P2 * P2 - Q * Q); - const p11 = 1 - 2 * P2 * P2; - const p12 = 2 * P2 * Q; - const p13 = 2 * P2 * sq; - const p21 = 2 * P2 * Q; - const p22 = 1 - 2 * Q * Q; - const p23 = -2 * Q * sq; - const p31 = -2 * P2 * sq; - const p32 = 2 * Q * sq; - const p33 = 1 - 2 * P2 * P2 - 2 * Q * Q; - const X = p11 * x0 + p12 * y0 + p13 * z0; - const Y = p21 * x0 + p22 * y0 + p23 * z0; - const Z = p31 * x0 + p32 * y0 + p33 * z0; - const dist = Math.sqrt(X * X + Y * Y + Z * Z); - const longitude = Math.atan2(Y, X); - const latitude = Math.asin(Z / dist); - return { longitude, latitude, distance: dist }; -} - -// src/moon/moon.ts -function getMoonPosition(date) { - const T = dateToJulianCenturies(date); - const moon = computeMoonPosition(T); - const pA = precessionInLongitude(T); - const dArgs = delaunayArgs(T); - const dpsi = nutationDpsi(dArgs.l, dArgs.lp, dArgs.F, dArgs.D, dArgs.Om, T); - let lon = moon.longitude + (pA + dpsi) * ARCSEC_TO_RAD; - lon = normalizeRadians(lon); - const lat = moon.latitude; - const eps = trueObliquity(T); - const [ra, dec] = eclipticToEquatorial(lon, lat, eps); - return { - longitude: normalizeDegrees(lon * RAD_TO_DEG), - latitude: lat * RAD_TO_DEG, - distance: moon.distance, - ra: normalizeDegrees(ra * RAD_TO_DEG), - dec: dec * RAD_TO_DEG - }; -} -function moonApparentLongitude(jdeTT) { - const T = (jdeTT - 2451545) / 36525; - const moon = computeMoonPosition(T); - const pA = precessionInLongitude(T); - const dArgs = delaunayArgs(T); - const dpsi = nutationDpsi(dArgs.l, dArgs.lp, dArgs.F, dArgs.D, dArgs.Om, T); - const lon = normalizeRadians(moon.longitude + (pA + dpsi) * ARCSEC_TO_RAD); - return normalizeDegrees(lon * RAD_TO_DEG); -} -var AU_KM = 1495978707e-1; -function moonPhase(jdeTT) { - const T = (jdeTT - 2451545) / 36525; - const moon = computeMoonPosition(T); - const pA = precessionInLongitude(T); - const dArgs = delaunayArgs(T); - const dpsi = nutationDpsi(dArgs.l, dArgs.lp, dArgs.F, dArgs.D, dArgs.Om, T); - const lonRad = normalizeRadians(moon.longitude + (pA + dpsi) * ARCSEC_TO_RAD); - const latRad = moon.latitude; - const distanceKm = moon.distance; - const sun = solarEclipticState(jdeTT); - const lamS = sun.apparentLongitudeDegrees / RAD_TO_DEG; - const cosPsi = Math.cos(latRad) * Math.cos(lonRad - lamS); - const psi = Math.acos(Math.min(1, Math.max(-1, cosPsi))); - const rKm = sun.radiusAu * AU_KM; - const i = Math.atan2(rKm * Math.sin(psi), distanceKm - rKm * cosPsi); - const illuminatedFraction = (1 + Math.cos(i)) / 2; - const elongationDeg = normalizeDegrees(lonRad * RAD_TO_DEG - sun.apparentLongitudeDegrees); - return { - elongationDeg, - phaseAngleDeg: i * RAD_TO_DEG, - illuminatedFraction, - waxing: elongationDeg < 180 - }; -} - -// src/new-moon.ts -var DEG2 = Math.PI / 180; -function meeusNewMoonJDE(k) { - const T = k / 1236.85; - const T2 = T * T; - const T3 = T2 * T; - const T4 = T3 * T; - let JDE = 245155009766e-5 + 29.530588861 * k + 15437e-8 * T2 - 15e-8 * T3 + 73e-11 * T4; - const E = 1 - 2516e-6 * T - 74e-7 * T2; - const E2 = E * E; - const M = (2.5534 + 29.1053567 * k - 14e-7 * T2 - 11e-8 * T3) * DEG2; - const Mprime = (201.5643 + 385.81693528 * k + 0.0107582 * T2 + 1238e-8 * T3 - 58e-9 * T4) * DEG2; - const F = (160.7108 + 390.67050284 * k - 16118e-7 * T2 - 227e-8 * T3 + 11e-9 * T4) * DEG2; - const Omega = (124.7746 - 1.56375588 * k + 2068e-6 * T2 + 215e-8 * T3) * DEG2; - const correction = -0.4072 * Math.sin(Mprime) + 0.17241 * E * Math.sin(M) + 0.01608 * Math.sin(2 * Mprime) + 0.01039 * Math.sin(2 * F) + 739e-5 * E * Math.sin(Mprime - M) + -514e-5 * E * Math.sin(Mprime + M) + 208e-5 * E2 * Math.sin(2 * M) + -111e-5 * Math.sin(Mprime - 2 * F) + -57e-5 * Math.sin(Mprime + 2 * F) + 56e-5 * E * Math.sin(2 * Mprime + M) + -42e-5 * Math.sin(3 * Mprime) + 42e-5 * E * Math.sin(M + 2 * F) + 38e-5 * E * Math.sin(M - 2 * F) + -24e-5 * E * Math.sin(2 * Mprime - M) + -17e-5 * Math.sin(Omega) + -7e-5 * Math.sin(Mprime + 2 * M) + 4e-5 * Math.sin(2 * Mprime - 2 * F) + 4e-5 * Math.sin(3 * M) + 3e-5 * Math.sin(Mprime + M - 2 * F) + 3e-5 * Math.sin(2 * Mprime + 2 * F) + -3e-5 * Math.sin(Mprime + M + 2 * F) + 3e-5 * Math.sin(Mprime - M + 2 * F) + -2e-5 * Math.sin(Mprime - M - 2 * F) + -2e-5 * Math.sin(3 * Mprime + M) + 2e-5 * Math.sin(4 * Mprime); - JDE += correction; - const A1 = (299.77 + 132.8475848 * k - 9173e-6 * T2) * DEG2; - const A2 = (251.88 + 92.5186844 * k) * DEG2; - const A3 = (251.83 + 360.30367988 * k) * DEG2; - const A4 = (349.42 + 450.37629756 * k) * DEG2; - const A5 = (84.66 + 966.97899884 * k) * DEG2; - const A6 = (141.74 + 1367.7288924 * k) * DEG2; - const A7 = (207.14 + 35.7255876 * k) * DEG2; - const A8 = (154.84 + 966.89791524 * k) * DEG2; - const A9 = (34.52 + 27.5546248 * k) * DEG2; - const A10 = (207.19 + 1.2282596 * k) * DEG2; - const A11 = (291.34 + 0.8070004 * k) * DEG2; - const A12 = (161.72 + 280.8282784 * k) * DEG2; - const A13 = (239.56 + 3.8721732 * k) * DEG2; - const A14 = (331.55 + 32.02416024 * k) * DEG2; - JDE += 325e-6 * Math.sin(A1) + 165e-6 * Math.sin(A2) + 164e-6 * Math.sin(A3) + 126e-6 * Math.sin(A4) + 11e-5 * Math.sin(A5) + 62e-6 * Math.sin(A6) + 6e-5 * Math.sin(A7) + 56e-6 * Math.sin(A8) + 47e-6 * Math.sin(A9) + 42e-6 * Math.sin(A10) + 4e-5 * Math.sin(A11) + 37e-6 * Math.sin(A12) + 35e-6 * Math.sin(A13) + 23e-6 * Math.sin(A14); - return JDE; -} -function sunMoonElongation(jde) { - const sun = solarEclipticState(jde).apparentLongitudeDegrees; - const moon = moonApparentLongitude(jde); - let d = (moon - sun) % 360; - if (d > 180) d -= 360; - else if (d < -180) d += 360; - return d; -} -function newMoonJDE(k) { - let jde = meeusNewMoonJDE(k); - for (let i = 0; i < 6; i++) { - const e = sunMoonElongation(jde); - jde -= e / 12.190749; - if (Math.abs(e) < 1e-9) break; - } - return jde; -} -function fullMoonJDE(k) { - let jde = newMoonJDE(k) + 29.530588861 / 2; - for (let i = 0; i < 8; i++) { - let e = sunMoonElongation(jde) - 180; - if (e <= -180) e += 360; - jde -= e / 12.190749; - if (Math.abs(e) < 1e-9) break; - } - return jde; -} -function findNewMoonsInRange(startJD, endJD) { - const kStart = Math.floor((startJD - 24515501e-1) / 29.530588861) - 1; - const kEnd = Math.ceil((endJD - 24515501e-1) / 29.530588861) + 1; - const results = []; - for (let k = kStart; k <= kEnd; k++) { - const jde = newMoonJDE(k); - if (jde >= startJD && jde <= endJD) { - results.push(jde); - } - } - return results; -} - -// src/lunisolar-calendar.ts -var BEIJING_OFFSET_MS = 8 * 36e5; -var ZHONGQI_INDICES = [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23]; -var monthsCache = /* @__PURE__ */ new Map(); -var lnyCache = /* @__PURE__ */ new Map(); -function jdeToUTCDate(jde, deltaT2) { - const year = 2e3 + (jde - 2451545) / 365.25; - const jdUT = jde - deltaT2(year) / 86400; - return new Date((jdUT - 24405875e-1) * 864e5); -} -function emParabola(year) { - const u = (year - 1820) / 100; - return -20 + 32 * u * u; -} -function startIsUncertain(newMoonUTC, deltaT2) { - const bj = new Date(newMoonUTC.getTime() + BEIJING_OFFSET_MS); - const year = bj.getUTCFullYear(); - if (year <= 2050) return false; - const sigma = Math.max(0, emParabola(year) - deltaT2(year)); - const secsIntoDay = bj.getUTCHours() * 3600 + bj.getUTCMinutes() * 60 + bj.getUTCSeconds() + bj.getUTCMilliseconds() / 1e3; - const distToMidnight = Math.min(secsIntoDay, 86400 - secsIntoDay); - return distToMidnight < sigma; -} -function beijingDate(utcDate) { - const beijing = new Date(utcDate.getTime() + BEIJING_OFFSET_MS); - return { - year: beijing.getUTCFullYear(), - month: beijing.getUTCMonth() + 1, - day: beijing.getUTCDate() - }; -} -function bjToNum(bj) { - return bj.year * 1e4 + bj.month * 100 + bj.day; -} -function beijingMidnight(utcDate) { - const bj = beijingDate(utcDate); - return new Date(Date.UTC(bj.year, bj.month - 1, bj.day) - BEIJING_OFFSET_MS); -} -function daysBetween(a, b) { - const aBj = beijingDate(a); - const bBj = beijingDate(b); - const aMs = Date.UTC(aBj.year, aBj.month - 1, aBj.day); - const bMs = Date.UTC(bBj.year, bBj.month - 1, bBj.day); - return Math.round((bMs - aMs) / 864e5); -} -function zhongqiFallsInMonth(zhongqiDate, monthStartUTC, nextMonthStartUTC) { - const zqN = bjToNum(beijingDate(zhongqiDate)); - const msN = bjToNum(beijingDate(monthStartUTC)); - const nmN = bjToNum(beijingDate(nextMonthStartUTC)); - return zqN >= msN && zqN < nmN; -} -function getNewMoonDates(startYear, endYear, deltaT2) { - const startJD = Date.UTC(startYear, 0, 1) / 864e5 + 24405875e-1 - 30; - const endJD = Date.UTC(endYear + 1, 1, 28) / 864e5 + 24405875e-1 + 30; - return findNewMoonsInRange(startJD, endJD).map((jde) => jdeToUTCDate(jde, deltaT2)); -} -function getZhongqiMoments(startYear, endYear, deltaT2) { - const moments = []; - for (let y = startYear; y <= endYear; y++) { - for (const idx of ZHONGQI_INDICES) { - const longitude = SOLAR_TERM_LONGITUDES[idx]; - const startMonth = idx < 2 ? 1 : Math.floor(idx / 2) + 1; - try { - const date = findSolarTermMomentWithDeltaT(longitude, y, startMonth, deltaT2); - moments.push({ index: idx, date }); - } catch { - } - } - } - moments.sort((a, b) => a.date.getTime() - b.date.getTime()); - return moments; -} -function buildMonthSequence(newMoons, zhongqi) { - const spans = []; - for (let i = 0; i < newMoons.length - 1; i++) { - const start = newMoons[i]; - const end = newMoons[i + 1]; - const days = daysBetween(start, end); - let hasZq = false; - let hasDz = false; - for (const z of zhongqi) { - if (!ZHONGQI_INDICES.includes(z.index)) continue; - if (zhongqiFallsInMonth(z.date, start, end)) { - hasZq = true; - if (z.index === 23) hasDz = true; - } - } - spans.push({ start, end, days, hasZhongqi: hasZq, hasDongzhi: hasDz }); - } - const dongzhiIndices = []; - for (let i = 0; i < spans.length; i++) { - if (spans[i].hasDongzhi) dongzhiIndices.push(i); - } - const assignments = /* @__PURE__ */ new Map(); - for (let d = 0; d < dongzhiIndices.length; d++) { - const m11Idx = dongzhiIndices[d]; - assignments.set(m11Idx, { monthNumber: 11, isLeapMonth: false }); - if (d + 1 >= dongzhiIndices.length) continue; - const nextM11Idx = dongzhiIndices[d + 1]; - assignments.set(nextM11Idx, { monthNumber: 11, isLeapMonth: false }); - const intermediateCount = nextM11Idx - m11Idx - 1; - const needsLeap = intermediateCount > 11; - const SEQ = [12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]; - let seqIdx = 0; - let leapInserted = false; - for (let i = m11Idx + 1; i < nextM11Idx; i++) { - if (needsLeap && !leapInserted && !spans[i].hasZhongqi) { - const leapNum = seqIdx === 0 ? 11 : SEQ[seqIdx - 1]; - assignments.set(i, { monthNumber: leapNum, isLeapMonth: true }); - leapInserted = true; - } else { - if (seqIdx < SEQ.length) { - assignments.set(i, { monthNumber: SEQ[seqIdx], isLeapMonth: false }); - } - seqIdx++; - } - } - } - const result = []; - for (let i = 0; i < spans.length; i++) { - const a = assignments.get(i); - if (a) { - result.push({ - monthNumber: a.monthNumber, - isLeapMonth: a.isLeapMonth, - startDate: spans[i].start, - nextDate: spans[i].end, - days: spans[i].days - }); - } - } - return result; -} -function getLunarMonthsForYear(lunarYear, deltaT2 = deltaTForYear) { - const useCache = deltaT2 === deltaTForYear; - if (useCache) { - const cached = monthsCache.get(lunarYear); - if (cached) return cached; - } - const newMoons = getNewMoonDates(lunarYear - 1, lunarYear + 1, deltaT2); - const zhongqi = getZhongqiMoments(lunarYear - 1, lunarYear + 1, deltaT2); - const sequence = buildMonthSequence(newMoons, zhongqi); - let month1Idx = -1; - for (let i = 0; i < sequence.length; i++) { - if (sequence[i].monthNumber === 1 && !sequence[i].isLeapMonth) { - const bj = beijingDate(sequence[i].startDate); - if (bj.year === lunarYear) { - month1Idx = i; - break; - } - } - } - if (month1Idx < 0) { - throw new Error(`Cannot find month 1 for lunar year ${lunarYear}`); - } - const result = []; - for (let i = month1Idx; i < sequence.length; i++) { - const m = sequence[i]; - if (i > month1Idx && m.monthNumber === 1 && !m.isLeapMonth) break; - result.push({ - monthNumber: m.monthNumber, - isLeapMonth: m.isLeapMonth, - startDate: beijingMidnight(m.startDate), - days: m.days, - boundaryUncertain: startIsUncertain(m.startDate, deltaT2) - }); - } - if (useCache) { - monthsCache.set(lunarYear, result); - if (monthsCache.size > 20) { - const firstKey = monthsCache.keys().next().value; - if (firstKey !== void 0) monthsCache.delete(firstKey); - } - } - return result; -} -function getLunarNewYear(gregorianYear) { - const cached = lnyCache.get(gregorianYear); - if (cached) return cached; - const months = getLunarMonthsForYear(gregorianYear); - const month1 = months.find((m) => m.monthNumber === 1 && !m.isLeapMonth); - if (!month1) { - throw new Error(`Cannot find month 1 for lunar year ${gregorianYear}`); - } - lnyCache.set(gregorianYear, month1.startDate); - if (lnyCache.size > 20) { - const firstKey = lnyCache.keys().next().value; - if (firstKey !== void 0) lnyCache.delete(firstKey); - } - return month1.startDate; -} -function gregorianToLunisolar(date, options = {}) { - const deltaT2 = options.deltaT ?? deltaTForYear; - const year = date.getFullYear(); - const month = date.getMonth() + 1; - const day = date.getDate(); - const targetMs = Date.UTC(year, month - 1, day); - for (const lunarYear of [year, year - 1, year + 1]) { - let months; - try { - months = getLunarMonthsForYear(lunarYear, deltaT2); - } catch { - continue; - } - for (let i = months.length - 1; i >= 0; i--) { - const m = months[i]; - const startBj = beijingDate(m.startDate); - const startMs = Date.UTC(startBj.year, startBj.month - 1, startBj.day); - if (targetMs >= startMs) { - const lunarDay = Math.floor((targetMs - startMs) / 864e5) + 1; - if (lunarDay >= 1 && lunarDay <= m.days) { - return { - year: lunarYear, - month: m.monthNumber, - day: lunarDay, - isLeapMonth: m.isLeapMonth, - boundaryUncertain: m.boundaryUncertain - }; - } - } - } - } - throw new Error(`Cannot convert ${year}-${month}-${day} to lunisolar date`); -} - -// src/chinese-zodiac.ts -var ZODIAC_ANIMALS = [ - "\u9F20", - "\u725B", - "\u864E", - "\u5154", - "\u9F8D", - "\u86C7", - "\u99AC", - "\u7F8A", - "\u7334", - "\u96DE", - "\u72D7", - "\u8C6C" -]; -var ZODIAC_ENGLISH = { - "\u9F20": "Rat", - "\u725B": "Ox", - "\u864E": "Tiger", - "\u5154": "Rabbit", - "\u9F8D": "Dragon", - "\u86C7": "Snake", - "\u99AC": "Horse", - "\u7F8A": "Goat", - "\u7334": "Monkey", - "\u96DE": "Rooster", - "\u72D7": "Dog", - "\u8C6C": "Pig" -}; -function animalFromBranch(branch) { - return ZODIAC_ANIMALS[BRANCHES.indexOf(branch)]; -} -function branchFromAnimal(animal) { - return BRANCHES[ZODIAC_ANIMALS.indexOf(animal)]; -} -function getZodiacBySpringStart(date) { - const year = date.getFullYear(); - const springStart = findSpringStart(year); - const effectiveYear = date >= springStart ? year : year - 1; - const branchIndex = ((effectiveYear - 4) % 12 + 12) % 12; - const branch = BRANCHES[branchIndex]; - const animal = ZODIAC_ANIMALS[branchIndex]; - return { animal, branch, yearBoundary: "spring-start", effectiveYear }; -} -function getChineseZodiacLunarNewYear(date) { - const year = date.getFullYear(); - const lnyUTC = getLunarNewYear(year); - const bjDate = new Date(lnyUTC.getTime() + 8 * 36e5); - const lnyDate = new Date(year, bjDate.getUTCMonth(), bjDate.getUTCDate()); - const effectiveYear = date >= lnyDate ? year : year - 1; - const branchIndex = ((effectiveYear - 4) % 12 + 12) % 12; - const branch = BRANCHES[branchIndex]; - const animal = ZODIAC_ANIMALS[branchIndex]; - return { animal, branch, yearBoundary: "lunar-new-year", effectiveYear }; -} -function getChineseZodiac(date, boundary = "spring-start") { - return boundary === "spring-start" ? getZodiacBySpringStart(date) : getChineseZodiacLunarNewYear(date); -} - -// src/eclipse-data.ts -var SOLAR_PACKED = 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-var SOLAR_MAGNITUDES = new Uint16Array([10733, 9382, 10284, 9806, 1611, 4035, 6954, 377, 9464, 10257, 9873, 9766, 10333, 9249, 8826, 754, 4292, 10181, 10059, 9599, 10606, 8256, 10609, 5316, 10067, 10036, 9652, 10435, 9464, 10260, 3949, 2645, 4983, 10490, 9272, 10690, 9402, 10259, 9820, 7132, 8933, 678, 9191, 10693, 9420, 10242, 9845, 110, 5442, 6910, 392, 9476, 10214, 9927, 9713, 10404, 9215, 8070, 1811, 3516, 10179, 10057, 9602, 10601, 8677, 10603, 5347, 9992, 10069, 9625, 10442, 9485, 10233, 2843, 4110, 4628, 10537, 9232, 10719, 9390, 10279, 9831, 6686, 7821, 1540, 9215, 10646, 9464, 10193, 9893, 6797, 6910, 428, 9479, 10175, 9977, 9665, 10468, 9183, 7169, 2986, 2884, 61, 10176, 10054, 9608, 10589, 9207, 10580, 5318, 9489, 10107, 9595, 10452, 9502, 10211, 1642, 5621, 4387, 10576, 9197, 10742, 9380, 10294, 9839, 6110, 6819, 2262, 9243, 10593, 9514, 10139, 9946, 8113, 6919, 512, 9462, 10143, 10021, 9623, 10524, 9156, 6133, 4259, 2384, 367, 10169, 10050, 9613, 10574, 9202, 10548, 5216, 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1409, 9364, 10560, 9478, 10234, 9844, 9593, 8230, 6912, 10362, 9792, 9863, 10356, 9600, 3124, 7743, 3392, 10428, 9734, 9898, 10325, 9396, 10489, 4698, 6377, 888, 10051, 9583, 10495, 9406, 10388, 9531, 6413, 10410, 9230, 10807, 9215, 10562, 9544, 3831, 2719, 5524, 1653, 9378, 10516, 9528, 10174, 9919, 9558, 7924, 470, 5629, 10362, 9802, 9849, 10383, 9212, 1758, 9149, 3251, 10396, 9745, 9884, 10325, 9422, 10465, 3931, 510, 5529, 1280, 10108, 9527, 10540, 9384, 10409, 9576, 6238, 10370, 9221, 10805, 9224, 10548, 9565, 2538, 4008, 5212, 1850, 9387, 10474, 9577, 10116, 9993, 9516, 7491, 1260, 4444, 10365, 9806, 9840, 10403, 9218, 353, 10618, 3166, 10356, 9761, 9864, 10329, 9442, 10442, 3085, 1742, 4790, 1583, 10165, 9470, 10584, 9361, 10431, 9597, 5998, 8898, 67, 9218, 10793, 9241, 10525, 9592, 1166, 5335, 4985, 1997, 9393, 10434, 9625, 10059, 10065, 9472, 6954, 2148, 3384, 10368, 9808, 9834, 10416, 9230, 10653, 3078, 10303, 9783, 9839, 10336, 9458, 10421, 2100, 3094, 4185, 1782, 10219, 9416, 10628, 9338, 10454, 9609, 5688, 7673, 1170, 9220, 10774, 9263, 10495, 9626, 6677, 4834, 2125, 9392, 10398, 9670, 10005, 10135, 9429, 6279, 3173, 2445, 477, 10371, 9805, 9831, 10424, 9246, 10661, 3001, 10229, 9811, 9809, 10348, 9468, 10403, 1044, 4502, 3682, 1913, 10269, 9365, 10668, 9316, 10475, 9618, 5278, 6529, 2160, 9228, 10746, 9292, 10457, 9665, 8004, 4750, 2238, 9380, 10365, 9712, 9955, 10201, 9387, 5498, 4284, 1615, 1036, 10372, 9801, 9829, 10426, 9266, 10656, 2864, 9114, 120, 9844, 9773, 10365, 9473, 10389, 5981, 3297, 1972, 10315, 9317, 10706, 9295, 10495, 9624, 4770, 633, 5480, 3034, 9239, 10712, 9326, 10412, 9711, 9293, 4679, 2397, 9282, 10337, 9750, 9910, 10261, 9349, 4564, 5526, 933, 1464, 10371, 9796, 9829, 10425, 9289, 10642, 2703, 7684, 1194, 9883, 9732, 10385, 9474, 10379, 7474, 2996, 2e3, 10353, 9275, 10738, 9278, 10510, 9629, 4133, 1423, 4527, 3786, 9253, 10671, 9366, 10362, 9762, 9712, 4630, 2581, 7802, 10314, 9784, 9870, 10316, 9316, 3545, 6815, 370, 1812, 10366, 9790, 9827, 10420, 9315, 10621, 2448, 472, 6322, 2166, 9926, 9686, 10412, 9469, 10374, 8980, 2767, 2009, 10382, 9237, 10764, 9263, 10521, 9635, 3380, 2323, 3697, 4416, 9269, 10627, 9409, 10307, 9819, 9689, 4550, 2853, 6346, 10296, 9811, 9836, 10365, 9288, 2399, 8189, 2067, 10354, 9786, 9825, 10413, 9341, 10596, 2118, 1189, 5038, 3030, 9973, 9637, 10441, 9461, 10373, 9602, 2585, 2029, 10396, 9207, 10783, 9254, 10526, 9642, 2499, 3345, 2985, 4919, 9286, 10578, 9456, 10249, 9880, 9654, 4453, 3187, 4898, 10282, 9834, 9807, 10406, 9265, 1192, 9583, 2279, 10336, 9784, 9820, 10406, 9367, 10567, 1671, 2041, 3865, 3763, 10023, 9584, 10475, 9449, 10378, 9648, 2440, 2068, 9931, 9182, 10795, 9250, 10524, 9652, 1514, 4449, 2383, 5333, 9302, 10528, 9506, 10188, 9944, 9613, 4270, 3651, 3534, 592, 10272, 9851, 9784, 10440, 9250, 10657, 2434, 10309, 9786, 9812, 10399, 9392, 10536, 1131, 3005, 2793, 4387, 10075, 9529, 10511, 9434, 10385, 9679, 2288, 2178, 8591, 788, 9165, 10797, 9252, 10515, 9665, 391, 5670, 1903, 5635, 9315, 10476, 9557, 10126, 10011, 9568, 4037, 4195, 2228, 1680, 10266, 9862, 9766, 10467, 9240, 10697, 2588, 10269, 9792, 9800, 10394, 9415, 10505, 468, 4097, 1835, 4889, 10128, 9471, 10549, 9415, 10396, 9701, 2125, 2344, 7256, 2148, 9154, 10792, 9259, 10499, 9683, 6935, 1526, 5872, 9323, 10426, 9607, 10065, 10079, 9522, 3686, 4880, 1025, 2651, 10262, 9867, 9753, 10487, 9237, 10717, 2742, 10191, 9803, 9784, 10390, 9436, 10474, 5304, 1003, 5279, 10180, 9413, 10587, 9396, 10409, 9717, 1909, 2615, 5949, 3422, 9149, 10777, 9274, 10475, 9706, 8276, 1260, 6033, 9317, 10377, 9657, 10004, 10146, 9475, 3241, 5677, 3523, 10260, 9867, 9744, 10500, 9239, 10724, 2933, 8664, 766, 9820, 9762, 10391, 9453, 10445, 6609, 298, 5555, 10230, 9354, 10625, 9375, 10423, 9728, 1650, 2965, 4669, 4632, 9150, 10754, 9295, 10444, 9735, 9620, 1049, 6184, 8834, 10332, 9705, 9947, 10212, 9430, 2654, 6613, 4261, 10258, 9862, 9739, 10506, 9249, 10720, 3163, 7186, 2021, 9842, 9735, 10395, 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9781, 7620, 9636, 10565, 9260, 10713, 7963, 1039, 7425, 8199, 9589, 10433, 9487, 10361, 9720, 9710, 7318, 1621, 5874, 10688, 9358, 10392, 9854, 8209, 10312, 7350, 10568, 9419, 10249, 9938, 9695, 10266, 1291, 3330, 8313, 9862, 9723, 10447, 9302, 10661, 9164, 9013, 6802, 9635, 10554, 9281, 10683, 8439, 8532, 8150, 9545, 10443, 9493, 10341, 9768, 9759, 6236, 3016, 5390, 10707, 9344, 10396, 9857, 8980, 10324, 6917, 10479, 9460, 10194, 9984, 9663, 10298, 4757, 8144, 9892, 9680, 10493, 9271, 10703, 9165, 8094, 543, 6123, 9633, 10539, 9305, 10647, 9002, 9564, 8073, 9487, 10457, 9495, 10324, 9811, 9787, 5068, 4460, 5007, 10719, 9333, 10395, 9861, 9668, 10330, 6371, 9186, 226, 9506, 10134, 10035, 9627, 10333, 6161, 8013, 9915, 9643, 10534, 9246, 10735, 9165, 7080, 1665, 5544, 9631, 10522, 9331, 10608, 9336, 10089, 7915, 9182, 10475, 9492, 10312, 9846, 9636, 3827, 5923, 4715, 10724, 9326, 10390, 9866, 9706, 10331, 5732, 8161, 875, 9554, 10071, 10090, 9587, 10374, 7490, 7860, 9926, 9612, 10568, 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2982, 6562, 3218, 18116, 17360, 4110, 6167, 2377, 645, 7395, 3205, 4033, 10898, 17577, 11878, 7008, 7888, 2887, 4978, 1460, 4541, 16303, 17146, 7810, 6121, 4341, 4401, 2123, 4329, 6313, 6771, 17259, 17372, 4612, 3493, 2147, 3429, 8983, 5345, 12090, 17552, 10448, 6702, 1860, 7259, 446, 3305, 5746, 2339, 18576, 16431, 4713, 7172, 2049, 1161, 6140, 4261, 3860, 9484, 17479, 13351, 7125, 9453, 2658, 5059, 209, 4180, 15159, 16651, 8878, 6733, 3665, 5254, 1259, 5069, 5747, 5752, 17744, 18495, 5013, 4651, 2132, 3676, 7444, 5271, 10501, 17430, 11986, 6805, 871, 8601, 3546, 4802, 1625, 17720, 15634, 5452, 8059, 1618, 1831, 4947, 5211, 3633, 8112, 17352, 14807, 7245, 346, 2498, 5114, 9192, 3895, 13963, 16251, 10007, 7245, 2876, 6207, 521, 5678, 5021, 4862, 17885, 18139, 5534, 5736, 2089, 4010, 5884, 931, 5218, 8887, 17343, 13540, 6848, 140, 3715, 3774, 1030, 16744, 14971, 6307, 8833, 1087, 2615, 3840, 6057, 3310, 6792, 17144, 16209, 7442, 1881, 2361, 5200, 7802, 3684, 12682, 15961, 11244, 7626, 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391, 8297, 945, 2413, 15380, 15426, 8982, 7426, 1725, 6089, 2364, 4955, 3023, 7368, 15206, 16567, 8527, 2567, 7250, 10025, 2043, 12869, 14492, 9949, 9636, 788, 7261, 5792, 4150, 1551, 16462, 16063, 7311, 7201, 4319, 6943, 3929, 10540, 10448, 13398, 12374, 10943, 8499, 8593, 77, 1596, 14670, 14405, 9619, 8561, 1425, 6540, 1141, 6166, 2776, 6087, 14998, 17910, 8708, 3885, 7397, 8607, 1789, 11507, 14101, 11200, 10074, 223, 8265, 6433, 3659, 366, 16072, 14839, 7585, 8468, 4557, 5595, 5181, 10430, 9021, 13298, 13816, 11110, 9982, 8809, 9483, 900, 13812, 13535, 10385, 9575, 1035, 7100, 7276, 2463, 4837, 14757, 18505, 8915, 5184, 7525, 7127, 70, 1610, 10060, 13799, 12530, 10411, 9350, 6981, 3058, 10062, 15542, 13737, 7996, 9628, 4909, 4276, 6361, 10327, 7554, 13250, 15317, 11225, 831, 8943, 8360, 301, 12877, 12773, 11261, 10454, 544, 7768, 8248, 2042, 3684, 14426, 17219, 9181, 6468, 7695, 5588, 1429, 1490, 8543, 13576, 13951, 10644, 671, 7402, 2341, 9148, 14914, 12749, 8498, 10707, 5344, 2995, 7462, 10184, 6120, 13195, 16814, 11333, 2409, 9041, 7131, 10229, 11826, 12152, 12244, 11183, 8560, 9099, 1524, 2599, 14003, 15999, 9508, 7718, 7891, 4032, 2785, 1407, 6981, 13412, 15405, 10822, 1975, 7739, 1502, 8370, 14141, 11908, 9165, 11647, 5915, 1758, 8485, 10003, 4693, 13124, 18333, 11432, 4001, 9111, 5870, 1243, 9907, 10695, 11635, 13317, 11796, 9464, 9813, 878, 1604, 13462, 14850, 9958, 8902, 8168, 2475, 4103, 1330, 5398, 13299, 16929, 10918, 3361, 7981, 554, 407, 7731, 13276, 11172, 9929, 12485, 6615, 596, 9398, 9742, 3334, 12986, 16879, 11564, 5590, 9176, 4550, 2780, 9666, 9482, 11250, 14485, 12289, 816, 10401, 97, 718, 12813, 13795, 10492, 10009, 8507, 927, 5387, 1254, 3821, 13185, 18432, 10997, 4767, 8176, 8977, 1642, 7227, 12255, 10591, 10853, 13190, 7457, 649, 9400, 2008, 12805, 15408, 11739, 7139, 9244, 3218, 4307, 9475, 8228, 10933, 15728, 12678, 1908, 442, 9755, 9559, 12017, 12839, 11167, 11015, 8975, 6587, 1143, 2253, 13083, 16935, 11046, 6208, 8309, 7836, 2909, 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11727, 8952, 2661, 8149, 6087, 5818, 9238, 17152, 15111, 2816, 2865, 6009, 287, 7231, 10355, 9385, 13938, 13675, 903, 664, 8593, 1766, 9951, 15324, 13696, 8306, 1630, 3478, 3272, 7392, 455, 6238, 9755, 16281, 14452, 3014, 373, 9044, 500, 6242, 11670, 10280, 12010, 12960, 9264, 1308, 9402, 5998, 4350, 9170, 18060, 15253, 4350, 3024, 5004, 1679, 6619, 9523, 8540, 14689, 14645, 1478, 1716, 8258, 563, 9682, 14016, 13915, 9620, 1790, 1969, 4683, 7218, 581, 4780, 9455, 17632, 14793, 4184, 894, 8373, 1435, 5232, 11098, 9208, 12470, 14104, 9663, 1121, 5902, 2873, 9116, 16503, 15371, 5922, 3137, 3916, 3122, 6101, 8584, 7818, 15588, 15467, 2199, 2630, 7811, 8968, 542, 9357, 12731, 14159, 10924, 1972, 428, 6093, 7102, 694, 3292, 9212, 17826, 15060, 5439, 1304, 7584, 2463, 4372, 10393, 8281, 13067, 15145, 10184, 2195, 5760, 1402, 9066, 14926, 15464, 7541, 3196, 2737, 4636, 5701, 7552, 7212, 16564, 16171, 3008, 3431, 7264, 7941, 1393, 8913, 11539, 14492, 12168, 2216, 7487, 7010, 840, 1736, 9048, 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3781, 2441, 4863, 3675, 5996, 7647, 16891, 16368, 4038, 1870, 6498, 2004, 6336, 8520, 10705, 15632, 12337, 2287, 2146, 8637, 1962, 1152, 5129, 5464, 18012, 18606, 3919, 6034, 3919, 1689, 5096, 2215, 7913, 7577, 16566, 15210, 3805, 1804, 4598, 123, 1402, 5620, 15009, 18e3, 8626, 5629, 2607, 3693, 4361, 3989, 4963, 6941, 17790, 17158, 4752, 2848, 6229, 2509, 4969, 135, 8309, 9347, 15773, 13702, 2448, 856, 538, 1794, 1328, 3781, 5232, 17316, 18499, 5249, 6452, 3237, 2815, 4116, 2749, 7408, 6356, 17017, 16533, 4107, 3147, 4410, 311, 119, 524, 5439, 13651, 18136, 9954, 5822, 1312, 5032, 3973, 4223, 3804, 6349, 17921, 17828, 5606, 3709, 5863, 3141, 3698, 1208, 8019, 8068, 15958, 15043, 2625, 1842, 1687, 1502, 2362, 5082, 15898, 18211, 6640, 6781, 2445, 4045, 3250, 3173, 6778, 5264, 17608, 17717, 4524, 4403, 4177, 593, 8318, 1771, 5253, 12268, 18011, 11312, 5977, 6427, 3670, 4391, 2543, 5864, 16857, 18387, 6554, 4454, 5412, 3856, 2528, 2179, 7643, 6877, 16256, 16300, 2887, 3091, 1596, 1726, 906, 4998, 14375, 18025, 8140, 7006, 1543, 5370, 2514, 3481, 6047, 4273, 18286, 17613, 5050, 5542, 3882, 972, 7087, 2926, 5022, 10918, 17868, 12685, 6125, 7866, 3442, 4537, 1189, 5479, 15686, 17963, 7625, 5067, 4828, 4710, 1491, 3007, 7165, 5781, 16633, 17491, 3219, 4310, 1541, 1979, 9443, 4941, 12834, 17885, 9686, 7173, 556, 6762, 1885, 3712, 5180, 3432, 18529, 16660, 5697, 6557, 3491, 1486, 5897, 3992, 4740, 9591, 17695, 14042, 6274, 9340, 3280, 4648, 10439, 5185, 14438, 17563, 8761, 5589, 4149, 5640, 578, 3722, 6556, 4796, 17157, 18572, 3688, 5435, 1464, 2318, 7979, 1023, 4906, 11239, 17789, 11298, 7268, 8218, 1358, 3871, 4233, 2708, 17636, 15833, 6452, 7448, 2998, 2113, 4802, 4941, 4377, 8309, 17463, 15371, 6480, 332, 3152, 4781, 8950, 4951, 13119, 17261, 10018, 5984, 3335, 6692, 4308, 5826, 3929, 17778, 17990, 4242, 6488, 1355, 2742, 6549, 2122, 4860, 9662, 17687, 12900, 7343, 9716, 940, 3969, 3183, 2118, 16631, 15165, 7335, 8208, 2389, 2878, 3786, 5776, 3907, 7101, 17170, 16652, 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17430, 7739, 5427, 4215, 7836, 2477, 748, 11772, 13623, 11882, 10056, 7155, 761, 7979, 880, 3182, 14921, 15973, 8635, 6740, 2428, 6191, 1534, 3969, 4137, 6196, 16382, 16830, 7075, 3499, 5907, 389, 1403, 13646, 14693, 9069, 10153, 6604, 329, 6326]); -var ECLIPSE_DATA_RANGE = { min: -1999, max: 3e3 }; - -// src/eclipses.ts -var ENTRY_LEN = 10; -function decodePacked(packed, magnitudes, kind) { - const count = packed.length / ENTRY_LEN; - const result = new Array(count); - for (let i = 0; i < count; i++) { - const offset = i * ENTRY_LEN; - const sign = packed[offset] === "-" ? -1 : 1; - const year = sign * parseInt(packed.slice(offset + 1, offset + 5), 10); - const month = parseInt(packed.slice(offset + 5, offset + 7), 10); - const day = parseInt(packed.slice(offset + 7, offset + 9), 10); - const type = packed[offset + 9]; - const magnitude = magnitudes[i] / 1e4; - const date = new Date(Date.UTC(year, month - 1, day)); - date.setUTCFullYear(year); - result[i] = { date, kind, type, magnitude }; - } - return result; -} -var _solarCache = null; -var _lunarCache = null; -function getSolarEclipses() { - if (!_solarCache) _solarCache = decodePacked(SOLAR_PACKED, SOLAR_MAGNITUDES, "solar"); - return _solarCache; -} -function getLunarEclipses() { - if (!_lunarCache) _lunarCache = decodePacked(LUNAR_PACKED, LUNAR_MAGNITUDES, "lunar"); - return _lunarCache; -} -function getAllSolarEclipses() { - return getSolarEclipses(); -} -function getAllLunarEclipses() { - return getLunarEclipses(); -} -function bisect(eclipses, ts) { - let lo = 0, hi = eclipses.length; - while (lo < hi) { - const mid = lo + hi >>> 1; - if (eclipses[mid].date.getTime() < ts) lo = mid + 1; - else hi = mid; - } - return lo; -} -function getEclipsesForYear(year) { - if (year < ECLIPSE_DATA_RANGE.min || year > ECLIPSE_DATA_RANGE.max) return []; - const startTs = Date.UTC(year, 0, 1); - const endTs = Date.UTC(year + 1, 0, 1); - const solar = getSolarEclipses(); - const lunar = getLunarEclipses(); - const solarStart = bisect(solar, startTs); - const solarEnd = bisect(solar, endTs); - const lunarStart = bisect(lunar, startTs); - const lunarEnd = bisect(lunar, endTs); - const result = [ - ...solar.slice(solarStart, solarEnd), - ...lunar.slice(lunarStart, lunarEnd) - ]; - result.sort((a, b) => a.date.getTime() - b.date.getTime()); - return result; -} -function getEclipsesInRange(start, end, kind) { - const startTs = start.getTime(); - const endTs = end.getTime(); - const result = []; - if (kind !== "lunar") { - const solar = getSolarEclipses(); - const lo = bisect(solar, startTs); - const hi = bisect(solar, endTs); - for (let i = lo; i < hi; i++) result.push(solar[i]); - } - if (kind !== "solar") { - const lunar = getLunarEclipses(); - const lo = bisect(lunar, startTs); - const hi = bisect(lunar, endTs); - for (let i = lo; i < hi; i++) result.push(lunar[i]); - } - if (!kind) result.sort((a, b) => a.date.getTime() - b.date.getTime()); - return result; -} -function findNearestEclipse(date, kind) { - const ts = date.getTime(); - let best; - let bestDist = Infinity; - function check(eclipses) { - const idx = bisect(eclipses, ts); - for (const i of [idx - 1, idx]) { - if (i >= 0 && i < eclipses.length) { - const dist = Math.abs(eclipses[i].date.getTime() - ts); - if (dist < bestDist) { - bestDist = dist; - best = eclipses[i]; - } - } - } - } - if (kind !== "lunar") check(getSolarEclipses()); - if (kind !== "solar") check(getLunarEclipses()); - if (bestDist > 365.25 * 24 * 3600 * 1e3) return void 0; - return best; -} -function isEclipseDate(date) { - const y = date.getUTCFullYear(); - const m = date.getUTCMonth(); - const d = date.getUTCDate(); - function search(eclipses) { - const ts = Date.UTC(y, m, d); - const idx = bisect(eclipses, ts); - for (let i = Math.max(0, idx - 1); i <= Math.min(eclipses.length - 1, idx + 1); i++) { - const e = eclipses[i]; - if (e.date.getUTCFullYear() === y && e.date.getUTCMonth() === m && e.date.getUTCDate() === d) { - return e; - } - } - return null; - } - return search(getSolarEclipses()) ?? search(getLunarEclipses()); -} - -// src/western-zodiac.ts -var ZODIAC_DATA = [ - { sign: "Capricorn", symbol: "\u2651", chineseName: "\u6469\u7FAF\u5EA7", element: "Earth", startMonth: 12, startDay: 22 }, - { sign: "Aquarius", symbol: "\u2652", chineseName: "\u6C34\u74F6\u5EA7", element: "Air", startMonth: 1, startDay: 20 }, - { sign: "Pisces", symbol: "\u2653", chineseName: "\u96D9\u9B5A\u5EA7", element: "Water", startMonth: 2, startDay: 19 }, - { sign: "Aries", symbol: "\u2648", chineseName: "\u767D\u7F8A\u5EA7", element: "Fire", startMonth: 3, startDay: 21 }, - { sign: "Taurus", symbol: "\u2649", chineseName: "\u91D1\u725B\u5EA7", element: "Earth", startMonth: 4, startDay: 20 }, - { sign: "Gemini", symbol: "\u264A", chineseName: "\u96D9\u5B50\u5EA7", element: "Air", startMonth: 5, startDay: 21 }, - { sign: "Cancer", symbol: "\u264B", chineseName: "\u5DE8\u87F9\u5EA7", element: "Water", startMonth: 6, startDay: 21 }, - { sign: "Leo", symbol: "\u264C", chineseName: "\u7345\u5B50\u5EA7", element: "Fire", startMonth: 7, startDay: 23 }, - { sign: "Virgo", symbol: "\u264D", chineseName: "\u8655\u5973\u5EA7", element: "Earth", startMonth: 8, startDay: 23 }, - { sign: "Libra", symbol: "\u264E", chineseName: "\u5929\u79E4\u5EA7", element: "Air", startMonth: 9, startDay: 23 }, - { sign: "Scorpio", symbol: "\u264F", chineseName: "\u5929\u880D\u5EA7", element: "Water", startMonth: 10, startDay: 23 }, - { sign: "Sagittarius", symbol: "\u2650", chineseName: "\u5C04\u624B\u5EA7", element: "Fire", startMonth: 11, startDay: 22 } -]; -function getWesternZodiac(date) { - const month = date.getMonth() + 1; - const day = date.getDate(); - const md = month * 100 + day; - if (md >= 1222 || md < 120) { - return pick(ZODIAC_DATA[0]); - } - for (let i = ZODIAC_DATA.length - 1; i >= 1; i--) { - const entry = ZODIAC_DATA[i]; - const entryMd = entry.startMonth * 100 + entry.startDay; - if (md >= entryMd) { - return pick(entry); - } - } - return pick(ZODIAC_DATA[0]); -} -function pick(entry) { - return { - sign: entry.sign, - symbol: entry.symbol, - chineseName: entry.chineseName, - element: entry.element - }; -} - -// src/julian-day.ts -var GREGORIAN_CUTOVER_JD = 2299161; -function julianDayNumber(year, month, day, calendar = "auto") { - let Y = year; - let M = month; - if (M <= 2) { - Y--; - M += 12; - } - let B; - if (calendar === "julian") { - B = 0; - } else if (calendar === "gregorian") { - const A = Math.floor(Y / 100); - B = 2 - A + Math.floor(A / 4); - } else { - const isGregorian = year > 1582 || year === 1582 && month > 10 || year === 1582 && month === 10 && day >= 15; - if (isGregorian) { - const A = Math.floor(Y / 100); - B = 2 - A + Math.floor(A / 4); - } else { - B = 0; - } - } - return Math.floor(365.25 * (Y + 4716)) + Math.floor(30.6001 * (M + 1)) + day + B - 1524.5; -} -function jdToCalendarDate(jd, calendar = "auto") { - const Z = Math.floor(jd + 0.5); - const F = jd + 0.5 - Z; - let A; - const useGregorian = calendar === "gregorian" || calendar === "auto" && Z >= GREGORIAN_CUTOVER_JD; - if (useGregorian) { - const alpha2 = Math.floor((Z - 186721625e-2) / 36524.25); - A = Z + 1 + alpha2 - Math.floor(alpha2 / 4); - } else { - A = Z; - } - const B = A + 1524; - const C = Math.floor((B - 122.1) / 365.25); - const D = Math.floor(365.25 * C); - const E = Math.floor((B - D) / 30.6001); - const day = B - D - Math.floor(30.6001 * E) + F; - const month = E < 14 ? E - 1 : E - 13; - const year = month > 2 ? C - 4716 : C - 4715; - return { year, month, day }; -} -function julianCalendarToDate(year, month, day) { - const jd = julianDayNumber(year, month, day, "julian"); - const ms = (jd - 24405875e-1) * 864e5; - const date = new Date(ms); - if (year >= 0 && year < 100) { - date.setUTCFullYear(year); - } - return date; -} - -// src/day-fitness.ts -var DAY_FITNESS_CYCLE = [ - "\u5EFA", - "\u9664", - "\u6EFF", - "\u5E73", - "\u5B9A", - "\u57F7", - "\u7834", - "\u5371", - "\u6210", - "\u6536", - "\u958B", - "\u9589" -]; -var DAY_FITNESS_AUSPICIOUS = { - "\u5EFA": true, - // 建 — establishing - "\u9664": true, - // 除 — removing - "\u6EFF": true, - // 滿 — fullness - "\u5E73": false, - // 平 — leveling - "\u5B9A": true, - // 定 — settling - "\u57F7": false, - // 執 — grasping - "\u7834": false, - // 破 — breaking - "\u5371": false, - // 危 — danger - "\u6210": true, - // 成 — completion - "\u6536": false, - // 收 — collecting - "\u958B": true, - // 開 — opening - "\u9589": false - // 閉 — closing -}; -function getDayFitness(dayBranch, monthBranch) { - const dayIdx = BRANCHES.indexOf(dayBranch); - const monthIdx = BRANCHES.indexOf(monthBranch); - const offset = ((dayIdx - monthIdx) % 12 + 12) % 12; - return DAY_FITNESS_CYCLE[offset]; -} -function getDayFitnessForDate(date) { - const pillars = computeFourPillars(date); - const dayBranch = pillars.day.branch; - const monthBranch = pillars.month.branch; - const fitness = getDayFitness(dayBranch, monthBranch); - return { fitness, auspicious: DAY_FITNESS_AUSPICIOUS[fitness] }; -} - -// src/flying-stars.ts -var FLYING_STARS = [ - { number: 1, name: "\u4E00\u767D", element: "\u6C34", color: "\u767D" }, - { number: 2, name: "\u4E8C\u9ED1", element: "\u571F", color: "\u9ED1" }, - { number: 3, name: "\u4E09\u78A7", element: "\u6728", color: "\u78A7" }, - { number: 4, name: "\u56DB\u7DA0", element: "\u6728", color: "\u7DA0" }, - { number: 5, name: "\u4E94\u9EC3", element: "\u571F", color: "\u9EC3" }, - { number: 6, name: "\u516D\u767D", element: "\u91D1", color: "\u767D" }, - { number: 7, name: "\u4E03\u8D64", element: "\u91D1", color: "\u8D64" }, - { number: 8, name: "\u516B\u767D", element: "\u571F", color: "\u767D" }, - { number: 9, name: "\u4E5D\u7D2B", element: "\u706B", color: "\u7D2B" } -]; -var MONTH_START = { - 1: 8, - // year stars 1/4/7 → 寅月 = 八白 - 2: 5, - // year stars 2/5/8 → 寅月 = 五黃 - 0: 2 - // year stars 3/6/9 → 寅月 = 二黑 -}; -function wrap9(n) { - return n === 0 ? 9 : n; -} -function getYearStar(date) { - const year = date.getFullYear(); - const springStart = findSpringStart(year); - const effectiveYear = date >= springStart ? year : year - 1; - const offset = ((effectiveYear - 1864) % 9 + 9) % 9; - return wrap9((10 - offset) % 9); -} -function getMonthStar(date) { - const yearStar = getYearStar(date); - const startStar = MONTH_START[yearStar % 3]; - const { monthIndex } = getSolarMonthExact(date); - return wrap9(((startStar - monthIndex) % 9 + 9) % 9); -} -function getDayStar(date) { - const ms = Date.UTC(date.getFullYear(), date.getMonth(), date.getDate()); - const days = Math.floor(ms / 864e5); - const raw = ((days + 8) % 9 + 9) % 9; - return raw + 1; -} -function getHourStar(date) { - const hour = date.getHours(); - let dayStar; - if (hour >= 23) { - const next = new Date(date.getFullYear(), date.getMonth(), date.getDate() + 1); - dayStar = getDayStar(next); - } else { - dayStar = getDayStar(date); - } - const group = dayStar % 3; - const ziStar = group === 1 ? 1 : group === 2 ? 4 : 7; - const hourBranchIdx = hour >= 23 ? 0 : Math.floor((hour + 1) / 2); - const raw = ((ziStar - 1 + hourBranchIdx) % 9 + 9) % 9; - return raw + 1; -} -function getFlyingStars(date) { - return { - year: getYearStar(date), - month: getMonthStar(date), - day: getDayStar(date), - hour: getHourStar(date) - }; -} - -// src/almanac-flags.ts -var branchIdx = (b) => BRANCHES.indexOf(b); -function threeHarmonyGroup(b) { - const groups = [ - ["\u5BC5", "\u5348", "\u620C"], - // fire - ["\u5DF3", "\u9149", "\u4E11"], - // metal - ["\u7533", "\u5B50", "\u8FB0"], - // water - ["\u4EA5", "\u536F", "\u672A"] - // wood - ]; - for (let i = 0; i < groups.length; i++) { - if (groups[i].includes(b)) return i; - } - return 0; -} -var HARMONY_TARGETS = { - // [travelHorse, peachBlossom, canopy, general, robbery, deathSpirit] - // fire: 寅午戌 → 申, 卯, 戌, 午, 亥, 巳 - "0": ["\u7533", "\u536F", "\u620C", "\u5348", "\u4EA5", "\u5DF3"], - // metal: 巳酉丑 → 亥, 午, 丑, 酉, 寅, 申 - "1": ["\u4EA5", "\u5348", "\u4E11", "\u9149", "\u5BC5", "\u7533"], - // water: 申子辰 → 寅, 酉, 辰, 子, 巳, 亥 - "2": ["\u5BC5", "\u9149", "\u8FB0", "\u5B50", "\u5DF3", "\u4EA5"], - // wood: 亥卯未 → 巳, 子, 未, 卯, 申, 寅 - "3": ["\u5DF3", "\u5B50", "\u672A", "\u536F", "\u7533", "\u5BC5"] -}; -function harmonyTarget(b, position) { - return HARMONY_TARGETS[threeHarmonyGroup(b)][position]; -} -function seasonFromMonth(monthIndex) { - return Math.floor(monthIndex / 3); -} -var HEAVENLY_NOBLE = { - "\u7532": ["\u4E11", "\u672A"], - "\u620A": ["\u4E11", "\u672A"], - "\u5E9A": ["\u4E11", "\u672A"], - "\u4E59": ["\u5B50", "\u7533"], - "\u5DF1": ["\u5B50", "\u7533"], - "\u4E19": ["\u4EA5", "\u9149"], - "\u4E01": ["\u4EA5", "\u9149"], - "\u58EC": ["\u5DF3", "\u536F"], - "\u7678": ["\u5DF3", "\u536F"], - "\u8F9B": ["\u5348", "\u5BC5"] -}; -function getHeavenlyNoble(stem) { - return HEAVENLY_NOBLE[stem]; -} -var SUPREME_NOBLE = { - "\u7532": ["\u5B50", "\u5348"], - "\u4E59": ["\u5B50", "\u5348"], - "\u4E19": ["\u536F", "\u9149"], - "\u4E01": ["\u536F", "\u9149"], - "\u620A": ["\u8FB0", "\u620C", "\u4E11", "\u672A"], - "\u5DF1": ["\u8FB0", "\u620C", "\u4E11", "\u672A"], - "\u5E9A": ["\u5BC5", "\u4EA5"], - "\u8F9B": ["\u5BC5", "\u4EA5"], - "\u58EC": ["\u5DF3", "\u7533"], - "\u7678": ["\u5DF3", "\u7533"] -}; -function getSupremeNoble(stem) { - return SUPREME_NOBLE[stem]; -} -var LITERARY_STAR = { - "\u7532": "\u5DF3", - "\u4E59": "\u5348", - "\u4E19": "\u7533", - "\u4E01": "\u9149", - "\u620A": "\u7533", - "\u5DF1": "\u9149", - "\u5E9A": "\u4EA5", - "\u8F9B": "\u5B50", - "\u58EC": "\u5BC5", - "\u7678": "\u536F" -}; -function getLiteraryStar(stem) { - return LITERARY_STAR[stem]; -} -var PROSPERITY_STAR = { - "\u7532": "\u5BC5", - "\u4E59": "\u536F", - "\u4E19": "\u5DF3", - "\u4E01": "\u5348", - "\u620A": "\u5DF3", - "\u5DF1": "\u5348", - "\u5E9A": "\u7533", - "\u8F9B": "\u9149", - "\u58EC": "\u4EA5", - "\u7678": "\u5B50" -}; -function getProsperityStar(stem) { - return PROSPERITY_STAR[stem]; -} -function getRamBlade(stem) { - const lu = branchIdx(PROSPERITY_STAR[stem]); - const isYang = STEMS.indexOf(stem) % 2 === 0; - return BRANCHES[((lu + (isYang ? 1 : -1)) % 12 + 12) % 12]; -} -function getGoldenCarriage(stem) { - const lu = branchIdx(PROSPERITY_STAR[stem]); - return BRANCHES[(lu + 2) % 12]; -} -function getTravelingHorse(branch) { - return harmonyTarget(branch, 0); -} -function getPeachBlossom(branch) { - return harmonyTarget(branch, 1); -} -function getCanopy(branch) { - return harmonyTarget(branch, 2); -} -function getGeneralStar(branch) { - return harmonyTarget(branch, 3); -} -function getRobberyStar(branch) { - return harmonyTarget(branch, 4); -} -function getDeathSpirit(branch) { - return harmonyTarget(branch, 5); -} -function getRedPhoenix(yearBranch) { - return BRANCHES[(3 - branchIdx(yearBranch) + 12) % 12]; -} -function getHeavenlyJoy(yearBranch) { - const phoenix = branchIdx(getRedPhoenix(yearBranch)); - return BRANCHES[(phoenix + 6) % 12]; -} -function seasonalGroup(b) { - return Math.floor((branchIdx(b) - 2 + 12) % 12 / 3); -} -var LONELY_MAP = ["\u5DF3", "\u7533", "\u4EA5", "\u5BC5"]; -function getLonelyStar(branch) { - return LONELY_MAP[seasonalGroup(branch)]; -} -var WIDOW_MAP = ["\u4E11", "\u8FB0", "\u672A", "\u620C"]; -function getWidowStar(branch) { - return WIDOW_MAP[seasonalGroup(branch)]; -} -var COMMANDING_SET = /* @__PURE__ */ new Set(["\u58EC\u8FB0", "\u5E9A\u620C", "\u5E9A\u8FB0", "\u620A\u620C"]); -function isCommandingStar(stem, branch) { - return COMMANDING_SET.has(`${stem}${branch}`); -} -var TEN_EVILS_SET = /* @__PURE__ */ new Set([ - "\u7532\u8FB0", - "\u4E59\u5DF3", - "\u58EC\u7533", - "\u4E19\u7533", - "\u4E01\u4EA5", - "\u5E9A\u8FB0", - "\u620A\u620C", - "\u7678\u4EA5", - "\u8F9B\u5DF3", - "\u5DF1\u4E11" -]); -function isTenEvils(stem, branch) { - return TEN_EVILS_SET.has(`${stem}${branch}`); -} -var YIN_YANG_ERROR_SET = /* @__PURE__ */ new Set([ - "\u4E19\u5B50", - "\u4E19\u5348", - "\u4E01\u4E11", - "\u4E01\u672A", - "\u620A\u5BC5", - "\u620A\u7533", - "\u8F9B\u536F", - "\u8F9B\u9149", - "\u58EC\u8FB0", - "\u58EC\u620C", - "\u7678\u5DF3", - "\u7678\u4EA5" -]); -function isYinYangError(stem, branch) { - return YIN_YANG_ERROR_SET.has(`${stem}${branch}`); -} -var HEAVENS_PARDON = [ - ["\u620A", "\u5BC5"], - // spring (0) - ["\u7532", "\u5348"], - // summer (1) - ["\u620A", "\u7533"], - // autumn (2) - ["\u7532", "\u5B50"] - // winter (3) -]; -function isHeavensPardon(stem, branch, season) { - const [s, b] = HEAVENS_PARDON[season]; - return stem === s && branch === b; -} -function isMonthBreak(dayBranch, monthBranch) { - return isClash(dayBranch, monthBranch); -} -function isYearBreak(dayBranch, yearBranch) { - return isClash(dayBranch, yearBranch); -} -function getHeavenlyDoctor(yearBranch) { - return BRANCHES[(branchIdx(yearBranch) + 1) % 12]; -} -var STUDY_HALL = { - "\u7532": "\u4EA5", - "\u4E59": "\u5348", - "\u4E19": "\u5BC5", - "\u4E01": "\u9149", - "\u620A": "\u5BC5", - "\u5DF1": "\u9149", - "\u5E9A": "\u5DF3", - "\u8F9B": "\u5B50", - "\u58EC": "\u7533", - "\u7678": "\u536F" -}; -function getStudyHall(stem) { - return STUDY_HALL[stem]; -} -var GOLD_SPIRIT_SET = /* @__PURE__ */ new Set(["\u5DF1\u5DF3", "\u7678\u9149", "\u4E59\u4E11"]); -function isGoldSpirit(stem, branch) { - return GOLD_SPIRIT_SET.has(`${stem}${branch}`); -} -var TEN_SPIRITS_SET = /* @__PURE__ */ new Set([ - "\u7532\u8FB0", - "\u4E59\u4EA5", - "\u4E19\u8FB0", - "\u4E01\u9149", - "\u620A\u5348", - "\u5E9A\u620C", - "\u5E9A\u5BC5", - "\u8F9B\u4EA5", - "\u58EC\u5BC5", - "\u7678\u672A" -]); -function isTenSpirits(stem, branch) { - return TEN_SPIRITS_SET.has(`${stem}${branch}`); -} -function isHeavenNet(branch) { - return branch === "\u620C" || branch === "\u4EA5"; -} -function isEarthTrap(branch) { - return branch === "\u8FB0" || branch === "\u5DF3"; -} -var FOUR_WASTE = [ - [["\u5E9A", "\u7533"], ["\u8F9B", "\u9149"]], - // spring: metal dead - [["\u58EC", "\u5B50"], ["\u7678", "\u4EA5"]], - // summer: water dead - [["\u7532", "\u5BC5"], ["\u4E59", "\u536F"]], - // autumn: wood dead - [["\u4E19", "\u5348"], ["\u4E01", "\u5DF3"]] - // winter: fire dead -]; -function isFourWaste(stem, branch, season) { - return FOUR_WASTE[season]?.some(([s, b]) => stem === s && branch === b) ?? false; -} -function getThreeWonders(pillars) { - const stems = [pillars.year.stem, pillars.month.stem, pillars.day.stem, pillars.hour.stem]; - for (let i = 0; i <= 1; i++) { - const triple = stems.slice(i, i + 3).join(""); - if (triple === "\u4E59\u4E19\u4E01") return "heaven"; - if (triple === "\u7532\u620A\u5E9A") return "earth"; - if (triple === "\u58EC\u7678\u8F9B") return "human"; - } - return null; -} -function stemToBranchCheck(pillars, targets) { - const positions = []; - const keys = ["year", "month", "day", "hour"]; - for (const k of keys) { - if (targets.includes(pillars[k].branch)) positions.push(k); - } - return positions; -} -function yearBranchCheck(pillars, target) { - const positions = []; - const keys = ["year", "month", "day", "hour"]; - for (const k of keys) { - if (pillars[k].branch === target) positions.push(k); - } - return positions; -} -var ALMANAC_FLAG_REGISTRY = [ - // ── Day Stem Noble Stars ── - { - name: "\u5929\u4E59\u8CB4\u4EBA", - english: "Heavenly Noble", - auspicious: true, - category: "noble", - check: (p) => stemToBranchCheck(p, [...getHeavenlyNoble(p.day.stem)]) - }, - { - name: "\u592A\u6975\u8CB4\u4EBA", - english: "Supreme Noble", - auspicious: true, - category: "noble", - check: (p) => stemToBranchCheck(p, getSupremeNoble(p.day.stem)) - }, - { - name: "\u6587\u660C\u8CB4\u4EBA", - english: "Literary Star", - auspicious: true, - category: "academic", - check: (p) => stemToBranchCheck(p, [getLiteraryStar(p.day.stem)]) - }, - { - name: "\u797F\u795E", - english: "Prosperity Star", - auspicious: true, - category: "wealth", - check: (p) => stemToBranchCheck(p, [getProsperityStar(p.day.stem)]) - }, - { - name: "\u7F8A\u5203", - english: "Ram Blade", - auspicious: false, - category: "inauspicious", - check: (p) => stemToBranchCheck(p, [getRamBlade(p.day.stem)]) - }, - { - name: "\u91D1\u8F3F", - english: "Golden Carriage", - auspicious: true, - category: "wealth", - check: (p) => stemToBranchCheck(p, [getGoldenCarriage(p.day.stem)]) - }, - // ── 三合 Branch Stars (from year branch) ── - { - name: "\u9A5B\u99AC", - english: "Traveling Horse", - auspicious: true, - category: "travel", - check: (p) => yearBranchCheck(p, getTravelingHorse(p.year.branch)) - }, - { - name: "\u6843\u82B1", - english: "Peach Blossom", - auspicious: true, - category: "romance", - check: (p) => yearBranchCheck(p, getPeachBlossom(p.year.branch)) - }, - { - name: "\u83EF\u84CB", - english: "Canopy", - auspicious: true, - category: "academic", - check: (p) => yearBranchCheck(p, getCanopy(p.year.branch)) - }, - { - name: "\u5C07\u661F", - english: "General Star", - auspicious: true, - category: "noble", - check: (p) => yearBranchCheck(p, getGeneralStar(p.year.branch)) - }, - { - name: "\u52AB\u715E", - english: "Robbery Star", - auspicious: false, - category: "inauspicious", - check: (p) => yearBranchCheck(p, getRobberyStar(p.year.branch)) - }, - { - name: "\u4EA1\u795E", - english: "Death Spirit", - auspicious: false, - category: "inauspicious", - check: (p) => yearBranchCheck(p, getDeathSpirit(p.year.branch)) - }, - // ── Year Branch Stars ── - { - name: "\u7D05\u9E1E", - english: "Red Phoenix", - auspicious: true, - category: "romance", - check: (p) => yearBranchCheck(p, getRedPhoenix(p.year.branch)) - }, - { - name: "\u5929\u559C", - english: "Heavenly Joy", - auspicious: true, - category: "romance", - check: (p) => yearBranchCheck(p, getHeavenlyJoy(p.year.branch)) - }, - { - name: "\u5B64\u8FB0", - english: "Lonely Star", - auspicious: false, - category: "inauspicious", - check: (p) => yearBranchCheck(p, getLonelyStar(p.year.branch)) - }, - { - name: "\u5BE1\u5BBF", - english: "Widow Star", - auspicious: false, - category: "inauspicious", - check: (p) => yearBranchCheck(p, getWidowStar(p.year.branch)) - }, - // ── Day Pillar Flags ── - { - name: "\u9B41\u7F61", - english: "Commanding Star", - auspicious: true, - category: "noble", - check: (p) => isCommandingStar(p.day.stem, p.day.branch) ? ["day"] : [] - }, - { - name: "\u5341\u60E1\u5927\u6557", - english: "Ten Evils", - auspicious: false, - category: "inauspicious", - check: (p) => isTenEvils(p.day.stem, p.day.branch) ? ["day"] : [] - }, - { - name: "\u9670\u5DEE\u967D\u932F", - english: "Yin-Yang Error", - auspicious: false, - category: "inauspicious", - check: (p) => isYinYangError(p.day.stem, p.day.branch) ? ["day"] : [] - }, - // ── Calendar Flags ── - { - name: "\u6708\u7834", - english: "Month Break", - auspicious: false, - category: "inauspicious", - check: (p) => isMonthBreak(p.day.branch, p.month.branch) ? ["day"] : [] - }, - { - name: "\u6B72\u7834", - english: "Year Break", - auspicious: false, - category: "inauspicious", - check: (p) => isYearBreak(p.day.branch, p.year.branch) ? ["day"] : [] - }, - { - name: "\u5929\u8D66\u65E5", - english: "Heaven's Pardon", - auspicious: true, - category: "protection", - check: (p, season) => isHeavensPardon(p.day.stem, p.day.branch, season) ? ["day"] : [] - }, - // ── Additional Eight-Character Stars ── - { - name: "\u5929\u91AB", - english: "Heavenly Doctor", - auspicious: true, - category: "health", - check: (p) => yearBranchCheck(p, getHeavenlyDoctor(p.year.branch)) - }, - { - name: "\u5B78\u5802", - english: "Study Hall", - auspicious: true, - category: "academic", - check: (p) => stemToBranchCheck(p, [getStudyHall(p.day.stem)]) - }, - { - name: "\u91D1\u795E", - english: "Gold Spirit", - auspicious: true, - category: "wealth", - check: (p) => isGoldSpirit(p.day.stem, p.day.branch) ? ["day"] : [] - }, - { - name: "\u5341\u9748\u65E5", - english: "Ten Spirits", - auspicious: true, - category: "protection", - check: (p) => isTenSpirits(p.day.stem, p.day.branch) ? ["day"] : [] - }, - { - name: "\u5929\u7F85", - english: "Heaven Net", - auspicious: false, - category: "inauspicious", - check: (p) => isHeavenNet(p.day.branch) ? ["day"] : [] - }, - { - name: "\u5730\u7DB2", - english: "Earth Trap", - auspicious: false, - category: "inauspicious", - check: (p) => isEarthTrap(p.day.branch) ? ["day"] : [] - }, - { - name: "\u56DB\u5EE2", - english: "Four Waste", - auspicious: false, - category: "inauspicious", - check: (p, season) => isFourWaste(p.day.stem, p.day.branch, season) ? ["day"] : [] - }, - { - name: "\u4E09\u5947\u8CB4\u4EBA", - english: "Three Wonders", - auspicious: true, - category: "noble", - check: (p) => getThreeWonders(p) ? ["year", "month", "day"] : [] - } -]; -function getAlmanacFlags(date) { - const pillars = computeFourPillars(date); - const { monthIndex } = getSolarMonthExact(date); - const season = seasonFromMonth(monthIndex); - const results = []; - for (const rule of ALMANAC_FLAG_REGISTRY) { - const positions = rule.check(pillars, season); - if (positions.length > 0) { - results.push({ - name: rule.name, - english: rule.english, - auspicious: rule.auspicious, - category: rule.category, - positions - }); - } - } - return results; -} -function getAlmanacFlagsForPillars(pillars, season) { - const results = []; - for (const rule of ALMANAC_FLAG_REGISTRY) { - const positions = rule.check(pillars, season); - if (positions.length > 0) { - results.push({ - name: rule.name, - english: rule.english, - auspicious: rule.auspicious, - category: rule.category, - positions - }); - } - } - return results; -} - -// src/peng-zu.ts -var STEM_TABOOS = { - "\u7532": "\u7532\u4E0D\u958B\u5009\u8CA1\u7269\u8017\u6563", - "\u4E59": "\u4E59\u4E0D\u683D\u690D\u5343\u682A\u4E0D\u9577", - "\u4E19": "\u4E19\u4E0D\u4FEE\u7076\u5FC5\u898B\u707D\u6B83", - "\u4E01": "\u4E01\u4E0D\u5243\u982D\u982D\u5FC5\u751F\u7621", - "\u620A": "\u620A\u4E0D\u53D7\u7530\u7530\u4E3B\u4E0D\u7965", - "\u5DF1": "\u5DF1\u4E0D\u7834\u5238\u4E8C\u6BD4\u4E26\u4EA1", - "\u5E9A": "\u5E9A\u4E0D\u7D93\u7D61\u7E54\u6A5F\u865B\u5F35", - "\u8F9B": "\u8F9B\u4E0D\u5408\u91AC\u4E3B\u4EBA\u4E0D\u5617", - "\u58EC": "\u58EC\u4E0D\u6C72\u6C34\u66F4\u96E3\u63D0\u9632", - "\u7678": "\u7678\u4E0D\u8A5E\u8A1F\u7406\u5F31\u6575\u5F37" -}; -var BRANCH_TABOOS = { - "\u5B50": "\u5B50\u4E0D\u554F\u535C\u81EA\u60F9\u798D\u6B83", - "\u4E11": "\u4E11\u4E0D\u51A0\u5E36\u4E3B\u4E0D\u9084\u9109", - "\u5BC5": "\u5BC5\u4E0D\u796D\u7940\u795E\u9B3C\u4E0D\u5617", - "\u536F": "\u536F\u4E0D\u7A7F\u4E95\u6C34\u6CC9\u4E0D\u9999", - "\u8FB0": "\u8FB0\u4E0D\u54ED\u6CE3\u5FC5\u4E3B\u91CD\u55AA", - "\u5DF3": "\u5DF3\u4E0D\u9060\u884C\u8CA1\u7269\u4F0F\u85CF", - "\u5348": "\u5348\u4E0D\u82EB\u84CB\u5C4B\u4E3B\u66F4\u5F35", - "\u672A": "\u672A\u4E0D\u670D\u85E5\u6BD2\u6C23\u5165\u8178", - "\u7533": "\u7533\u4E0D\u5B89\u5E8A\u9B3C\u795F\u5165\u623F", - "\u9149": "\u9149\u4E0D\u5BB4\u5BA2\u9189\u5750\u985B\u72C2", - "\u620C": "\u620C\u4E0D\u5403\u72AC\u4F5C\u602A\u4E0A\u5E8A", - "\u4EA5": "\u4EA5\u4E0D\u5AC1\u5A36\u4E0D\u5229\u65B0\u90CE" -}; -function getPengZuTaboo(stem, branch) { - return { - stem: STEM_TABOOS[stem], - branch: BRANCH_TABOOS[branch] - }; -} -function getPengZuTabooForDate(date) { - const pillars = computeFourPillars(date); - return getPengZuTaboo(pillars.day.stem, pillars.day.branch); -} - -// src/day-clash.ts -function getClashBranch(branch) { - const idx = BRANCHES.indexOf(branch); - return BRANCHES[(idx + 6) % 12]; -} -var BRANCH_ANIMAL = { - "\u5B50": "\u9F20", - "\u4E11": "\u725B", - "\u5BC5": "\u864E", - "\u536F": "\u5154", - "\u8FB0": "\u9F8D", - "\u5DF3": "\u86C7", - "\u5348": "\u99AC", - "\u672A": "\u7F8A", - "\u7533": "\u7334", - "\u9149": "\u96DE", - "\u620C": "\u72D7", - "\u4EA5": "\u8C6C" -}; -var BRANCH_DIRECTION = { - "\u5B50": "\u5317", - "\u4E11": "\u5317", - "\u5BC5": "\u6771", - "\u536F": "\u6771", - "\u8FB0": "\u6771", - "\u5DF3": "\u5357", - "\u5348": "\u5357", - "\u672A": "\u5357", - "\u7533": "\u897F", - "\u9149": "\u897F", - "\u620C": "\u897F", - "\u4EA5": "\u5317" -}; -function getDayClash(dayBranch) { - const clashBranch = getClashBranch(dayBranch); - const clashAnimal = BRANCH_ANIMAL[clashBranch]; - const direction = BRANCH_DIRECTION[clashBranch]; - return { - clashBranch, - clashAnimal, - direction, - display: `\u885D${clashAnimal}\u715E${direction}` - }; -} -function getDayClashForDate(date) { - const pillars = computeFourPillars(date); - return getDayClash(pillars.day.branch); -} - -// src/deity-directions.ts -var WEALTH_GOD = { - "\u7532": "\u6771\u5317", - "\u4E59": "\u6771\u5317", - "\u4E19": "\u897F\u5357", - "\u4E01": "\u897F\u5357", - "\u620A": "\u6B63\u5317", - "\u5DF1": "\u6B63\u5317", - "\u5E9A": "\u6B63\u6771", - "\u8F9B": "\u6B63\u6771", - "\u58EC": "\u6B63\u5357", - "\u7678": "\u6B63\u5357" -}; -var JOY_GOD = { - "\u7532": "\u6771\u5317", - "\u5DF1": "\u6771\u5317", - "\u4E59": "\u897F\u5317", - "\u5E9A": "\u897F\u5317", - "\u4E19": "\u897F\u5357", - "\u8F9B": "\u897F\u5357", - "\u4E01": "\u6B63\u5357", - "\u58EC": "\u6B63\u5357", - "\u620A": "\u6771\u5357", - "\u7678": "\u6771\u5357" -}; -var FORTUNE_GOD = { - "\u7532": "\u6771\u5357", - "\u4E59": "\u6771\u5317", - "\u4E19": "\u6B63\u6771", - "\u4E01": "\u6B63\u5357", - "\u620A": "\u6B63\u5317", - "\u5DF1": "\u6B63\u5317", - "\u5E9A": "\u897F\u5357", - "\u8F9B": "\u6771\u5357", - "\u58EC": "\u897F\u5317", - "\u7678": "\u897F\u5357" -}; -var NOBLE_GOD = { - "\u7532": "\u897F\u5357", - "\u4E59": "\u6B63\u5317", - "\u4E19": "\u897F\u5317", - "\u4E01": "\u6B63\u897F", - "\u620A": "\u6771\u5317", - "\u5DF1": "\u6771\u5317", - "\u5E9A": "\u897F\u5357", - "\u8F9B": "\u6B63\u5357", - "\u58EC": "\u6B63\u5357", - "\u7678": "\u6771\u5357" -}; -function getDeityDirections(dayStem) { - return { - wealth: WEALTH_GOD[dayStem], - joy: JOY_GOD[dayStem], - fortune: FORTUNE_GOD[dayStem], - noble: NOBLE_GOD[dayStem] - }; -} -function getDeityDirectionsForDate(date) { - const pillars = computeFourPillars(date); - return getDeityDirections(pillars.day.stem); -} - -// src/fetal-deity.ts -var FETAL_DEITY = [ - /* 00 甲子 */ - "\u5360\u9580\u7893\u5916\u6771\u5357", - /* 01 乙丑 */ - "\u7893\u78E8\u5EC1\u5916\u6771\u5357", - /* 02 丙寅 */ - "\u5EDA\u7076\u7893\u5916\u6B63\u5357", - /* 03 丁卯 */ - "\u5009\u5EAB\u9580\u5916\u6B63\u5357", - /* 04 戊辰 */ - "\u623F\u5E8A\u68F2\u5916\u6B63\u5357", - /* 05 己巳 */ - "\u5360\u9580\u5E8A\u5916\u6B63\u5357", - /* 06 庚午 */ - "\u5360\u7893\u78E8\u5916\u6B63\u5357", - /* 07 辛未 */ - "\u5EDA\u7076\u5EC1\u5916\u897F\u5357", - /* 08 壬申 */ - "\u5009\u5EAB\u7210\u5916\u6B63\u5317", - /* 09 癸酉 */ - "\u623F\u5E8A\u9580\u5916\u6B63\u5317", - /* 10 甲戌 */ - "\u5360\u9580\u7210\u5916\u897F\u5357", - /* 11 乙亥 */ - "\u7893\u78E8\u68F2\u5916\u897F\u5357", - /* 12 丙子 */ - "\u5EDA\u7076\u7893\u5916\u6B63\u897F", - /* 13 丁丑 */ - "\u5009\u5EAB\u9580\u5916\u6B63\u897F", - /* 14 戊寅 */ - "\u623F\u5E8A\u7210\u5916\u6B63\u5317", - /* 15 己卯 */ - "\u5360\u9580\u5E8A\u5916\u6B63\u5317", - /* 16 庚辰 */ - "\u7893\u78E8\u68F2\u5916\u6B63\u5317", - /* 17 辛巳 */ - "\u5EDA\u7076\u5EC1\u5916\u897F\u5317", - /* 18 壬午 */ - "\u5009\u5EAB\u7893\u5916\u897F\u5317", - /* 19 癸未 */ - "\u623F\u5E8A\u5EC1\u5916\u897F\u5317", - /* 20 甲申 */ - "\u5360\u9580\u7893\u5916\u6771\u5317", - /* 21 乙酉 */ - "\u7893\u78E8\u9580\u5916\u6771\u5317", - /* 22 丙戌 */ - "\u5EDA\u7076\u7210\u5916\u6771\u5317", - /* 23 丁亥 */ - "\u5009\u5EAB\u68F2\u5916\u6771\u5317", - /* 24 戊子 */ - "\u623F\u5E8A\u7893\u5916\u6B63\u6771", - /* 25 己丑 */ - "\u5360\u9580\u5EC1\u5916\u6B63\u6771", - /* 26 庚寅 */ - "\u7893\u78E8\u7210\u5916\u6B63\u6771", - /* 27 辛卯 */ - "\u5EDA\u7076\u5E8A\u5916\u6771\u5357", - /* 28 壬辰 */ - "\u5009\u5EAB\u68F2\u5916\u6771\u5357", - /* 29 癸巳 */ - "\u5360\u623F\u5E8A\u623F\u5167\u6771", - /* 30 甲午 */ - "\u5360\u9580\u7893\u5916\u6771\u5357", - /* 31 乙未 */ - "\u7893\u78E8\u5EC1\u5916\u6771\u5357", - /* 32 丙申 */ - "\u5EDA\u7076\u7893\u5916\u6B63\u5357", - /* 33 丁酉 */ - "\u5009\u5EAB\u9580\u5916\u6B63\u5357", - /* 34 戊戌 */ - "\u623F\u5E8A\u68F2\u5916\u6B63\u5357", - /* 35 己亥 */ - "\u5360\u9580\u5E8A\u5916\u6B63\u5357", - /* 36 庚子 */ - "\u5360\u7893\u78E8\u5916\u6B63\u5357", - /* 37 辛丑 */ - "\u5EDA\u7076\u5EC1\u5916\u897F\u5357", - /* 38 壬寅 */ - "\u5009\u5EAB\u7210\u5916\u6B63\u5317", - /* 39 癸卯 */ - "\u623F\u5E8A\u9580\u5916\u6B63\u5317", - /* 40 甲辰 */ - "\u5360\u9580\u7210\u5916\u897F\u5357", - /* 41 乙巳 */ - "\u7893\u78E8\u68F2\u5916\u897F\u5357", - /* 42 丙午 */ - "\u5EDA\u7076\u7893\u5916\u6B63\u897F", - /* 43 丁未 */ - "\u5009\u5EAB\u9580\u5916\u6B63\u897F", - /* 44 戊申 */ - "\u623F\u5E8A\u7210\u5916\u6B63\u5317", - /* 45 己酉 */ - "\u5360\u9580\u5E8A\u5916\u6B63\u5317", - /* 46 庚戌 */ - "\u7893\u78E8\u68F2\u5916\u6B63\u5317", - /* 47 辛亥 */ - "\u5EDA\u7076\u5EC1\u5916\u897F\u5317", - /* 48 壬子 */ - "\u5009\u5EAB\u7893\u5916\u897F\u5317", - /* 49 癸丑 */ - "\u623F\u5E8A\u5EC1\u5916\u897F\u5317", - /* 50 甲寅 */ - "\u5360\u9580\u7893\u5916\u6771\u5317", - /* 51 乙卯 */ - "\u7893\u78E8\u9580\u5916\u6771\u5317", - /* 52 丙辰 */ - "\u5EDA\u7076\u7210\u5916\u6771\u5317", - /* 53 丁巳 */ - "\u5009\u5EAB\u68F2\u5916\u6771\u5317", - /* 54 戊午 */ - "\u623F\u5E8A\u7893\u5916\u6B63\u6771", - /* 55 己未 */ - "\u5360\u9580\u5EC1\u5916\u6B63\u6771", - /* 56 庚申 */ - "\u7893\u78E8\u7210\u5916\u6B63\u6771", - /* 57 辛酉 */ - "\u5EDA\u7076\u5E8A\u5916\u6771\u5357", - /* 58 壬戌 */ - "\u5009\u5EAB\u68F2\u5916\u6771\u5357", - /* 59 癸亥 */ - "\u5360\u623F\u5E8A\u623F\u5167\u6771" -]; -function getFetalDeity(stem, branch) { - const idx = stemBranchCycleIndex(stem, branch); - if (idx < 0) return ""; - return FETAL_DEITY[idx]; -} -function getFetalDeityForDate(date) { - const pillars = computeFourPillars(date); - return getFetalDeity(pillars.day.stem, pillars.day.branch); -} - -// src/duty-deity.ts -var DUTY_DEITIES = [ - "\u9752\u9F8D", - "\u660E\u5802", - "\u5929\u5211", - "\u6731\u96C0", - "\u91D1\u5331", - "\u5929\u5FB7", - "\u767D\u864E", - "\u7389\u5802", - "\u5929\u7262", - "\u7384\u6B66", - "\u53F8\u547D", - "\u52FE\u9673" -]; -var HUANG_DAO = /* @__PURE__ */ new Set(["\u9752\u9F8D", "\u660E\u5802", "\u91D1\u5331", "\u5929\u5FB7", "\u7389\u5802", "\u53F8\u547D"]); -var FITNESS_TO_INDEX = { - "\u5EFA": 0, - "\u9664": 1, - "\u6EFF": 2, - "\u5E73": 3, - "\u5B9A": 4, - "\u57F7": 5, - "\u7834": 6, - "\u5371": 7, - "\u6210": 8, - "\u6536": 9, - "\u958B": 10, - "\u9589": 11 -}; -function getDutyDeity(fitness) { - const deity = DUTY_DEITIES[FITNESS_TO_INDEX[fitness]]; - const path = HUANG_DAO.has(deity) ? "\u9EC3\u9053" : "\u9ED1\u9053"; - return { deity, path }; -} -function getDutyDeityForDate(date) { - const { fitness } = getDayFitnessForDate(date); - return getDutyDeity(fitness); -} - -// src/lunar-mansions.ts -var LUNAR_MANSIONS = [ - // ── 東方青龍 (Eastern Azure Dragon) ── - { name: "\u89D2", animal: "\u86DF", element: "\u6728", group: "\u6771\u65B9\u9752\u9F8D", index: 0 }, - { name: "\u4EA2", animal: "\u9F8D", element: "\u91D1", group: "\u6771\u65B9\u9752\u9F8D", index: 1 }, - { name: "\u6C10", animal: "\u8C89", element: "\u571F", group: "\u6771\u65B9\u9752\u9F8D", index: 2 }, - { name: "\u623F", animal: "\u5154", element: "\u706B", group: "\u6771\u65B9\u9752\u9F8D", index: 3 }, - { name: "\u5FC3", animal: "\u72D0", element: "\u6708", group: "\u6771\u65B9\u9752\u9F8D", index: 4 }, - { name: "\u5C3E", animal: "\u864E", element: "\u706B", group: "\u6771\u65B9\u9752\u9F8D", index: 5 }, - { name: "\u7B95", animal: "\u8C79", element: "\u6C34", group: "\u6771\u65B9\u9752\u9F8D", index: 6 }, - // ── 北方玄武 (Northern Black Tortoise) ── - { name: "\u6597", animal: "\u736C", element: "\u6728", group: "\u5317\u65B9\u7384\u6B66", index: 7 }, - { name: "\u725B", animal: "\u725B", element: "\u91D1", group: "\u5317\u65B9\u7384\u6B66", index: 8 }, - { name: "\u5973", animal: "\u8760", element: "\u571F", group: "\u5317\u65B9\u7384\u6B66", index: 9 }, - { name: "\u865B", animal: "\u9F20", element: "\u706B", group: "\u5317\u65B9\u7384\u6B66", index: 10 }, - { name: "\u5371", animal: "\u71D5", element: "\u6708", group: "\u5317\u65B9\u7384\u6B66", index: 11 }, - { name: "\u5BA4", animal: "\u8C6C", element: "\u706B", group: "\u5317\u65B9\u7384\u6B66", index: 12 }, - { name: "\u58C1", animal: "\u8C90", element: "\u6C34", group: "\u5317\u65B9\u7384\u6B66", index: 13 }, - // ── 西方白虎 (Western White Tiger) ── - { name: "\u594E", animal: "\u72FC", element: "\u6728", group: "\u897F\u65B9\u767D\u864E", index: 14 }, - { name: "\u5A41", animal: "\u72D7", element: "\u91D1", group: "\u897F\u65B9\u767D\u864E", index: 15 }, - { name: "\u80C3", animal: "\u96C9", element: "\u571F", group: "\u897F\u65B9\u767D\u864E", index: 16 }, - { name: "\u6634", animal: "\u96DE", element: "\u706B", group: "\u897F\u65B9\u767D\u864E", index: 17 }, - { name: "\u7562", animal: "\u70CF", element: "\u6708", group: "\u897F\u65B9\u767D\u864E", index: 18 }, - { name: "\u89DC", animal: "\u7334", element: "\u706B", group: "\u897F\u65B9\u767D\u864E", index: 19 }, - { name: "\u53C3", animal: "\u733F", element: "\u6C34", group: "\u897F\u65B9\u767D\u864E", index: 20 }, - // ── 南方朱雀 (Southern Vermillion Bird) ── - { name: "\u4E95", animal: "\u72B4", element: "\u6728", group: "\u5357\u65B9\u6731\u96C0", index: 21 }, - { name: "\u9B3C", animal: "\u7F8A", element: "\u91D1", group: "\u5357\u65B9\u6731\u96C0", index: 22 }, - { name: "\u67F3", animal: "\u7350", element: "\u571F", group: "\u5357\u65B9\u6731\u96C0", index: 23 }, - { name: "\u661F", animal: "\u99AC", element: "\u706B", group: "\u5357\u65B9\u6731\u96C0", index: 24 }, - { name: "\u5F35", animal: "\u9E7F", element: "\u6708", group: "\u5357\u65B9\u6731\u96C0", index: 25 }, - { name: "\u7FFC", animal: "\u86C7", element: "\u706B", group: "\u5357\u65B9\u6731\u96C0", index: 26 }, - { name: "\u8EEB", animal: "\u8693", element: "\u6C34", group: "\u5357\u65B9\u6731\u96C0", index: 27 } -]; -var EPOCH_JD = 2444239; -var EPOCH_INDEX = 10; -function getLunarMansion(jd) { - const idx = ((Math.floor(jd) - EPOCH_JD + EPOCH_INDEX) % 28 + 28) % 28; - return LUNAR_MANSIONS[idx]; -} -function getLunarMansionForDate(date) { - const jd = julianDayNumber( - date.getUTCFullYear(), - date.getUTCMonth() + 1, - date.getUTCDate() - ); - return getLunarMansion(jd); -} - -// src/six-ren.ts -var STEM_LODGING = { - "\u7532": "\u5BC5", - "\u4E59": "\u536F", - "\u4E19": "\u5DF3", - "\u4E01": "\u5348", - "\u620A": "\u5DF3", - "\u5DF1": "\u5348", - "\u5E9A": "\u7533", - "\u8F9B": "\u9149", - "\u58EC": "\u4EA5", - "\u7678": "\u5B50" -}; -var HEAVENLY_GENERALS = [ - "\u8CB4\u4EBA", - "\u87A3\u86C7", - "\u6731\u96C0", - "\u516D\u5408", - "\u52FE\u9673", - "\u9752\u9F8D", - "\u5929\u7A7A", - "\u767D\u864E", - "\u592A\u5E38", - "\u7384\u6B66", - "\u592A\u9670", - "\u5929\u540E" -]; -var NOBLE_POSITIONS = { - "\u7532": ["\u4E11", "\u672A"], - "\u620A": ["\u4E11", "\u672A"], - "\u5E9A": ["\u4E11", "\u672A"], - "\u4E59": ["\u5B50", "\u7533"], - "\u5DF1": ["\u5B50", "\u7533"], - "\u4E19": ["\u4EA5", "\u9149"], - "\u4E01": ["\u4EA5", "\u9149"], - "\u58EC": ["\u5DF3", "\u536F"], - "\u7678": ["\u5DF3", "\u536F"], - "\u8F9B": ["\u5348", "\u5BC5"] -}; -function branchIdx2(b) { - return BRANCHES.indexOf(b); -} -function elemOf(b) { - return BRANCH_ELEMENT[b]; -} -function conquers(a, b) { - return CONQUERING_CYCLE[a] === b; -} -function isDaytime(hourBranch) { - const idx = branchIdx2(hourBranch); - return idx >= 3 && idx <= 8; -} -function buildPlates(monthlyGeneral, hourBranch) { - const offset = ((branchIdx2(monthlyGeneral) - branchIdx2(hourBranch)) % 12 + 12) % 12; - const plates = {}; - for (const b of BRANCHES) { - plates[b] = branchByIndex(branchIdx2(b) + offset); - } - return plates; -} -function buildFourLessons(dayStem, dayBranch, plates) { - const lodging = STEM_LODGING[dayStem]; - const l1Upper = plates[lodging]; - const l2Upper = plates[l1Upper]; - const l3Upper = plates[dayBranch]; - const l4Upper = plates[l3Upper]; - return [ - { upper: l1Upper, lower: lodging }, - { upper: l2Upper, lower: l1Upper }, - { upper: l3Upper, lower: dayBranch }, - { upper: l4Upper, lower: l3Upper } - ]; -} -function findAllConquests(lessons) { - const results = []; - for (let i = 0; i < lessons.length; i++) { - const { upper, lower } = lessons[i]; - const upperEl = elemOf(upper); - const lowerEl = elemOf(lower); - if (conquers(upperEl, lowerEl)) { - results.push({ lessonIndex: i, upper, lower, type: "\u4E0A\u524B\u4E0B" }); - } else if (conquers(lowerEl, upperEl)) { - results.push({ lessonIndex: i, upper, lower, type: "\u4E0B\u8CCA\u4E0A" }); - } - } - return results; -} -function matchByPolarity(candidates, dayStem) { - const stemPol = stemPolarity(dayStem); - const matched = candidates.filter((c) => branchPolarity(c.upper) === stemPol); - return matched.length > 0 ? matched : candidates; -} -function measureHarmDepth(candidates, dayStem, plates) { - const lodging = STEM_LODGING[dayStem]; - const lodgingIdx = branchIdx2(lodging); - let best = candidates[0]; - let bestDepth = -1; - for (const c of candidates) { - let depth = 0; - const startIdx = branchIdx2(c.upper); - let steps = ((lodgingIdx - startIdx) % 12 + 12) % 12; - if (steps === 0) steps = 12; - for (let s = 0; s < steps; s++) { - const earthBranch = branchByIndex(startIdx + s); - const heavenBranch = plates[earthBranch]; - const earthEl = elemOf(earthBranch); - const heavenEl = elemOf(heavenBranch); - if (conquers(heavenEl, earthEl) || conquers(earthEl, heavenEl)) { - depth++; - } - } - if (depth > bestDepth) { - bestDepth = depth; - best = c; - } - } - return best; -} -function deriveTransmissions(lessons, dayStem, plates) { - const offset = ((branchIdx2(plates["\u5B50"]) - branchIdx2("\u5B50")) % 12 + 12) % 12; - if (offset === 0) { - return handleStillPlates(lessons, dayStem, plates); - } - if (offset === 6) { - return handleClashPlates(lessons, dayStem, plates); - } - const allKe = findAllConquests(lessons); - const lowerConquers = allKe.filter((k) => k.type === "\u4E0B\u8CCA\u4E0A"); - const upperConquers = allKe.filter((k) => k.type === "\u4E0A\u524B\u4E0B"); - const candidates = lowerConquers.length > 0 ? lowerConquers : upperConquers; - if (candidates.length === 1) { - const initial = candidates[0].upper; - return { transmissions: chain(initial, plates), method: "\u8CCA\u524B" }; - } - if (candidates.length > 1) { - const biResult = matchByPolarity(candidates, dayStem); - if (biResult.length === 1) { - return { transmissions: chain(biResult[0].upper, plates), method: "\u6BD4\u7528" }; - } - const sheResult = measureHarmDepth(biResult, dayStem, plates); - return { transmissions: chain(sheResult.upper, plates), method: "\u6D89\u5BB3" }; - } - return handleNoConquest(lessons, dayStem, plates); -} -function chain(initial, plates) { - const middle = plates[initial]; - const final_ = plates[middle]; - return { initial, middle, final: final_ }; -} -function handleStillPlates(lessons, dayStem, plates) { - const allKe = findAllConquests(lessons); - if (allKe.length > 0) { - const lowerConquers = allKe.filter((k) => k.type === "\u4E0B\u8CCA\u4E0A"); - const upperConquers = allKe.filter((k) => k.type === "\u4E0A\u524B\u4E0B"); - const candidates = lowerConquers.length > 0 ? lowerConquers : upperConquers; - if (candidates.length === 1) { - const initial2 = candidates[0].upper; - return { transmissions: stillPlatesChain(initial2), method: "\u4F0F\u541F" }; - } - if (candidates.length > 1) { - const biResult = matchByPolarity(candidates, dayStem); - const winner = biResult.length === 1 ? biResult[0] : measureHarmDepth(biResult, dayStem, plates); - return { transmissions: stillPlatesChain(winner.upper), method: "\u4F0F\u541F" }; - } - } - const lodging = STEM_LODGING[dayStem]; - const stemEl = STEM_ELEMENT[dayStem]; - const lodgingEl = elemOf(lodging); - const initial = conquers(stemEl, lodgingEl) ? clashOf(lodging) : clashOf(lessons[2].lower); - return { transmissions: stillPlatesChain(initial), method: "\u4F0F\u541F" }; -} -function stillPlatesChain(initial) { - const middle = clashOf(initial); - const final_ = clashOf(middle); - return { initial, middle, final: final_ }; -} -function handleClashPlates(lessons, dayStem, plates) { - const allKe = findAllConquests(lessons); - if (allKe.length > 0) { - const lowerConquers = allKe.filter((k) => k.type === "\u4E0B\u8CCA\u4E0A"); - const upperConquers = allKe.filter((k) => k.type === "\u4E0A\u524B\u4E0B"); - const candidates = lowerConquers.length > 0 ? lowerConquers : upperConquers; - if (candidates.length === 1) { - return { transmissions: chain(candidates[0].upper, plates), method: "\u8FD4\u541F" }; - } - if (candidates.length > 1) { - const biResult = matchByPolarity(candidates, dayStem); - const winner = biResult.length === 1 ? biResult[0] : measureHarmDepth(biResult, dayStem, plates); - return { transmissions: chain(winner.upper, plates), method: "\u8FD4\u541F" }; - } - } - const dayBranch = lessons[2].lower; - const horse = travelingHorse(dayBranch); - return { transmissions: chain(horse, plates), method: "\u8FD4\u541F" }; -} -function handleNoConquest(lessons, dayStem, plates) { - const stemEl = STEM_ELEMENT[dayStem]; - const uppers = lessons.map((l) => l.upper); - const keOnStem = uppers.filter((u) => conquers(elemOf(u), stemEl)); - const stemKeOn = uppers.filter((u) => conquers(stemEl, elemOf(u))); - if (keOnStem.length > 0) { - const initial2 = keOnStem.length === 1 ? keOnStem[0] : selectByPolarity(keOnStem, dayStem); - return { transmissions: chain(initial2, plates), method: "\u9059\u524B" }; - } - if (stemKeOn.length > 0) { - const initial2 = stemKeOn.length === 1 ? stemKeOn[0] : selectByPolarity(stemKeOn, dayStem); - return { transmissions: chain(initial2, plates), method: "\u9059\u524B" }; - } - const allSame = lessons.every( - (l) => l.upper === lessons[0].upper && l.lower === lessons[0].lower - ); - if (allSame) { - const initial2 = lessons[0].upper; - return { transmissions: chain(initial2, plates), method: "\u516B\u5C08" }; - } - const initial = lessons[0].upper; - return { transmissions: chain(initial, plates), method: "\u5225\u8CAC" }; -} -function selectByPolarity(branches, dayStem) { - const pol = stemPolarity(dayStem); - const matched = branches.filter((b) => branchPolarity(b) === pol); - return matched.length > 0 ? matched[0] : branches[0]; -} -function clashOf(b) { - return branchByIndex(branchIdx2(b) + 6); -} -function travelingHorse(b) { - const group = branchIdx2(b) % 4; - const horses = ["\u5BC5", "\u4EA5", "\u7533", "\u5DF3"]; - return horses[group]; -} -function placeGenerals(dayStem, hourBranch) { - const [dayPos, nightPos] = NOBLE_POSITIONS[dayStem]; - const nobleBranch = isDaytime(hourBranch) ? dayPos : nightPos; - const nobleIdx = branchIdx2(nobleBranch); - const ascending = nobleIdx >= 5 && nobleIdx <= 10; - const step = ascending ? 1 : -1; - const generals = {}; - for (let i = 0; i < 12; i++) { - const branch = branchByIndex(nobleIdx + i * step); - generals[branch] = HEAVENLY_GENERALS[i]; - } - return generals; -} -function getMonthlyGeneral(date) { - const year = date.getFullYear(); - const terms = getSolarTermsForYear(year); - const prevTerms = getSolarTermsForYear(year - 1); - for (let i = 11; i >= 0; i--) { - const solarIdx = i * 2 + 1; - if (date >= terms[solarIdx].date) { - return branchByIndex((12 - i) % 12); - } - } - if (date >= prevTerms[23].date) { - return branchByIndex((12 - 11) % 12); - } - if (date >= prevTerms[21].date) { - return branchByIndex((12 - 10) % 12); - } - return "\u4E11"; -} -function computeSixRen(dayStem, dayBranch, hourBranch, monthlyGeneral) { - const plates = buildPlates(monthlyGeneral, hourBranch); - const lessons = buildFourLessons(dayStem, dayBranch, plates); - const { transmissions, method } = deriveTransmissions(lessons, dayStem, plates); - const generals = placeGenerals(dayStem, hourBranch); - return { - dayStem, - dayBranch, - hourBranch, - monthlyGeneral, - plates, - lessons, - transmissions, - method, - generals - }; -} -function computeSixRenForDate(date, hour) { - const h = hour ?? date.getHours(); - const pillars = computeFourPillars(date); - const hourBranch = branchFromHour(h); - const monthlyGeneral = getMonthlyGeneral(date); - return computeSixRen( - pillars.day.stem, - pillars.day.branch, - hourBranch, - monthlyGeneral - ); -} - -// src/daily-almanac.ts -function findSurroundingTerms(date) { - const year = date.getUTCFullYear(); - const ts = date.getTime(); - const terms = [ - ...getSolarTermsForYear(year - 1), - ...getSolarTermsForYear(year), - ...getSolarTermsForYear(year + 1) - ].sort((a, b) => a.date.getTime() - b.date.getTime()); - let current = null; - let next = { name: terms[0].name, date: terms[0].date }; - for (let i = 0; i < terms.length; i++) { - if (terms[i].date.getTime() <= ts) { - current = { name: terms[i].name, date: terms[i].date }; - } else { - next = { name: terms[i].name, date: terms[i].date }; - break; - } - } - return { current, next }; -} -function dailyAlmanac(date) { - const y = date.getUTCFullYear(); - const m = date.getUTCMonth() + 1; - const d = date.getUTCDate(); - const julianDay = julianDayNumber(y, m, d); - const lunar = gregorianToLunisolar(date); - const pillars = computeFourPillars(date); - const solarTerm = findSurroundingTerms(date); - const chineseZodiac = getChineseZodiac(date); - const westernZodiac = getWesternZodiac(date); - const dayFitness = getDayFitnessForDate(date); - const rawStars = getFlyingStars(date); - const starInfo = (n) => FLYING_STARS[n - 1]; - const flyingStars = { - year: starInfo(rawStars.year), - month: starInfo(rawStars.month), - day: starInfo(rawStars.day), - hour: starInfo(rawStars.hour) - }; - const almanacFlags = getAlmanacFlags(date); - const sixRen = computeSixRenForDate(date); - const nearestEclipse = findNearestEclipse(date); - const eclipseDay = isEclipseDate(date); - const dayElement = STEM_ELEMENT[pillars.day.stem]; - const dayStrength = getStrength(dayElement, pillars.month.branch).label; - return { - date, - julianDay, - lunar, - pillars, - solarTerm, - chineseZodiac, - westernZodiac, - dayFitness, - flyingStars, - almanacFlags, - sixRen, - nearestEclipse, - isEclipseDay: eclipseDay !== null, - dayElement, - dayStrength - }; -} - -// src/mystery-gates.ts -var NINE_STARS = [ - "\u5929\u84EC", - "\u5929\u82AE", - "\u5929\u885D", - "\u5929\u8F14", - "\u5929\u79BD", - "\u5929\u5FC3", - "\u5929\u67F1", - "\u5929\u4EFB", - "\u5929\u82F1" -]; -var STAR_HOME = [1, 2, 3, 4, 5, 6, 7, 8, 9]; -var EIGHT_DOORS = [ - "\u4F11", - "\u751F", - "\u50B7", - "\u675C", - "\u666F", - "\u6B7B", - "\u9A5A", - "\u958B" -]; -var DOOR_HOME = [1, 8, 3, 4, 9, 2, 7, 6]; -var EIGHT_DEITIES = [ - "\u503C\u7B26", - "\u87A3\u86C7", - "\u592A\u9670", - "\u516D\u5408", - "\u767D\u864E", - "\u7384\u6B66", - "\u4E5D\u5730", - "\u4E5D\u5929" -]; -var EIGHT_DEITIES_YIN = [ - "\u503C\u7B26", - "\u87A3\u86C7", - "\u592A\u9670", - "\u516D\u5408", - "\u52FE\u9673", - "\u6731\u96C0", - "\u4E5D\u5730", - "\u4E5D\u5929" -]; -var SAN_QI_LIU_YI = [ - "\u620A", - "\u5DF1", - "\u5E9A", - "\u8F9B", - "\u58EC", - "\u7678", - "\u4E01", - "\u4E19", - "\u4E59" -]; -var LO_SHU_FORWARD = [1, 8, 3, 4, 9, 2, 7, 6]; -var LO_SHU_REVERSE = [9, 2, 7, 6, 1, 8, 3, 4]; -var WINTER_SOLSTICE_IDX = SOLAR_TERM_NAMES.indexOf("\u51AC\u81F3"); -var SUMMER_SOLSTICE_IDX = SOLAR_TERM_NAMES.indexOf("\u590F\u81F3"); -function getEscapeMode(date) { - const year = date.getUTCFullYear(); - const ts = date.getTime(); - const terms = getSolarTermsForYear(year); - const winterSolstice = terms[WINTER_SOLSTICE_IDX]; - const summerSolstice = terms[SUMMER_SOLSTICE_IDX]; - if (ts < summerSolstice.date.getTime()) { - return "\u967D\u9041"; - } - if (ts < winterSolstice.date.getTime()) { - return "\u9670\u9041"; - } - return "\u967D\u9041"; -} -var YANG_JU_TABLE = [ - /* 冬至 */ - [1, 7, 4], - /* 小寒 */ - [2, 8, 5], - /* 大寒 */ - [3, 9, 6], - /* 立春 */ - [8, 5, 2], - /* 雨水 */ - [9, 6, 3], - /* 驚蟄 */ - [1, 7, 4], - /* 春分 */ - [3, 9, 6], - /* 清明 */ - [4, 1, 7], - /* 穀雨 */ - [5, 2, 8], - /* 立夏 */ - [4, 1, 7], - /* 小滿 */ - [5, 2, 8], - /* 芒種 */ - [6, 3, 9] -]; -var YIN_JU_TABLE = [ - /* 夏至 */ - [9, 3, 6], - /* 小暑 */ - [8, 2, 5], - /* 大暑 */ - [7, 1, 4], - /* 立秋 */ - [2, 5, 8], - /* 處暑 */ - [1, 4, 7], - /* 白露 */ - [9, 3, 6], - /* 秋分 */ - [7, 1, 4], - /* 寒露 */ - [6, 9, 3], - /* 霜降 */ - [5, 8, 2], - /* 立冬 */ - [6, 9, 3], - /* 小雪 */ - [5, 8, 2], - /* 大雪 */ - [4, 7, 1] -]; -var YANG_TERM_NAMES = [ - "\u51AC\u81F3", - "\u5C0F\u5BD2", - "\u5927\u5BD2", - "\u7ACB\u6625", - "\u96E8\u6C34", - "\u9A5A\u87C4", - "\u6625\u5206", - "\u6E05\u660E", - "\u7A40\u96E8", - "\u7ACB\u590F", - "\u5C0F\u6EFF", - "\u8292\u7A2E" -]; -var YIN_TERM_NAMES = [ - "\u590F\u81F3", - "\u5C0F\u6691", - "\u5927\u6691", - "\u7ACB\u79CB", - "\u8655\u6691", - "\u767D\u9732", - "\u79CB\u5206", - "\u5BD2\u9732", - "\u971C\u964D", - "\u7ACB\u51AC", - "\u5C0F\u96EA", - "\u5927\u96EA" -]; -function getYuan(date, termDate) { - const daysDiff = Math.floor((date.getTime() - termDate.getTime()) / 864e5); - if (daysDiff < 5) return 0; - if (daysDiff < 10) return 1; - return 2; -} -function getJuShu(date) { - const year = date.getUTCFullYear(); - const ts = date.getTime(); - const allTerms = [ - ...getSolarTermsForYear(year - 1), - ...getSolarTermsForYear(year), - ...getSolarTermsForYear(year + 1) - ].sort((a, b) => a.date.getTime() - b.date.getTime()); - let currentTerm = allTerms[0]; - for (const term of allTerms) { - if (term.date.getTime() <= ts) { - currentTerm = term; - } else { - break; - } - } - const escapeMode = getEscapeMode(date); - const termNames = escapeMode === "\u967D\u9041" ? YANG_TERM_NAMES : YIN_TERM_NAMES; - const juTable = escapeMode === "\u967D\u9041" ? YANG_JU_TABLE : YIN_JU_TABLE; - let termIdx = termNames.indexOf(currentTerm.name); - if (termIdx < 0) { - for (let i = allTerms.indexOf(currentTerm) - 1; i >= 0; i--) { - termIdx = termNames.indexOf(allTerms[i].name); - if (termIdx >= 0) { - currentTerm = allTerms[i]; - break; - } - } - if (termIdx < 0) termIdx = 0; - } - const yuan = getYuan(date, currentTerm.date); - return juTable[termIdx][yuan]; -} -function loShuSequence(startPalace, mode) { - const order = mode === "\u967D\u9041" ? LO_SHU_FORWARD : LO_SHU_REVERSE; - const startIdx = order.indexOf(startPalace); - const result = []; - for (let i = 0; i < 8; i++) { - result.push(order[(startIdx + i) % 8]); - } - return result; -} -function buildEarthPlate(juShu, mode) { - const plate = {}; - const sequence = loShuSequence(juShu, mode); - for (let i = 0; i < 8; i++) { - plate[sequence[i]] = SAN_QI_LIU_YI[i]; - } - plate[5] = SAN_QI_LIU_YI[8]; - const fullSeq = loShuSequence(juShu, mode); - const plate2 = {}; - const fullOrder = [...fullSeq.slice(0, 4), 5, ...fullSeq.slice(4)]; - for (let i = 0; i < 9; i++) { - plate2[fullOrder[i]] = SAN_QI_LIU_YI[i]; - } - return plate2; -} -function buildHeavenPlate(earthPlate, hourBranch, juShu, mode) { - const hourIdx = BRANCHES.indexOf(hourBranch); - const BRANCH_TO_PALACE = { - "\u5B50": 1, - "\u4E11": 8, - "\u5BC5": 3, - "\u536F": 4, - "\u8FB0": 5, - "\u5DF3": 9, - "\u5348": 9, - "\u672A": 2, - "\u7533": 7, - "\u9149": 6, - "\u620C": 5, - "\u4EA5": 1 - }; - let zhiFuHome = juShu; - const targetPalace = BRANCH_TO_PALACE[hourBranch] || 1; - const heavenPlate = {}; - const order = mode === "\u967D\u9041" ? LO_SHU_FORWARD : LO_SHU_REVERSE; - const fullOrder = [...order.slice(0, 4), 5, ...order.slice(4)]; - const homeIdx = fullOrder.indexOf(zhiFuHome === 5 ? 2 : zhiFuHome); - const targetIdx = fullOrder.indexOf(targetPalace === 5 ? 2 : targetPalace); - const offset = (targetIdx - homeIdx + 9) % 9; - for (let i = 0; i < 9; i++) { - const earthPalace = fullOrder[i]; - const heavenPalace = fullOrder[(i + offset) % 9]; - heavenPlate[heavenPalace] = earthPlate[earthPalace]; - } - return heavenPlate; -} -function distributeOnGrid(items, homePositions, offset, mode) { - const result = {}; - const order = mode === "\u967D\u9041" ? LO_SHU_FORWARD : LO_SHU_REVERSE; - for (let i = 0; i < items.length; i++) { - const home = homePositions[i]; - if (home === 5) { - result[2] = result[2] || items[i]; - continue; - } - const homeIdx = order.indexOf(home); - const newIdx = (homeIdx + offset) % 8; - result[order[newIdx]] = items[i]; - } - if (!result[5]) { - result[5] = items[4]; - } - return result; -} -function computeQiMen(dayStem, hourBranch, juShu, escapeMode) { - const earthPlate = buildEarthPlate(juShu, escapeMode); - const heavenPlate = buildHeavenPlate(earthPlate, hourBranch, juShu, escapeMode); - const zhiFuStarIdx = juShu - 1; - const zhiFuStar = NINE_STARS[zhiFuStarIdx]; - const order = escapeMode === "\u967D\u9041" ? LO_SHU_FORWARD : LO_SHU_REVERSE; - const fullOrder = [...order.slice(0, 4), 5, ...order.slice(4)]; - const BRANCH_TO_PALACE = { - "\u5B50": 1, - "\u4E11": 8, - "\u5BC5": 3, - "\u536F": 4, - "\u8FB0": 5, - "\u5DF3": 9, - "\u5348": 9, - "\u672A": 2, - "\u7533": 7, - "\u9149": 6, - "\u620C": 5, - "\u4EA5": 1 - }; - const targetPalace = BRANCH_TO_PALACE[hourBranch] || 1; - const homeIdx = fullOrder.indexOf(juShu === 5 ? 2 : juShu); - const targetIdx = fullOrder.indexOf(targetPalace === 5 ? 2 : targetPalace); - const offset = (targetIdx - homeIdx + 9) % 9; - const stars = distributeOnGrid(NINE_STARS, STAR_HOME, offset, escapeMode); - const zhiShiDoorIdx = DOOR_HOME.indexOf(juShu === 5 ? 2 : juShu); - const zhiShiDoor = zhiShiDoorIdx >= 0 ? EIGHT_DOORS[zhiShiDoorIdx] : EIGHT_DOORS[0]; - const doors = distributeOnGrid(EIGHT_DOORS, DOOR_HOME, offset, escapeMode); - const deityList = escapeMode === "\u967D\u9041" ? EIGHT_DEITIES : EIGHT_DEITIES_YIN; - const deities = {}; - const zhiFuNewPalace = targetPalace === 5 ? 2 : targetPalace; - const zhiFuOrderIdx = order.indexOf(zhiFuNewPalace); - for (let i = 0; i < 8; i++) { - const palace = order[(zhiFuOrderIdx + i) % 8]; - deities[palace] = deityList[i]; - } - if (!deities[5]) deities[5] = deityList[0]; - let zhiFuPalace = zhiFuNewPalace; - let zhiShiPalace = 1; - for (const [p, d] of Object.entries(doors)) { - if (d === zhiShiDoor) { - zhiShiPalace = Number(p); - break; - } - } - return { - escapeMode, - juShu, - earthPlate, - heavenPlate, - stars, - doors, - deities, - zhiFu: { star: zhiFuStar, palace: zhiFuPalace }, - zhiShi: { door: zhiShiDoor, palace: zhiShiPalace }, - hourBranch, - dayStem - }; -} -function computeQiMenForDate(date) { - const pillars = computeFourPillars(date); - const escapeMode = getEscapeMode(date); - const juShu = getJuShu(date); - return computeQiMen( - pillars.day.stem, - pillars.hour.branch, - juShu, - escapeMode - ); -} - -// src/polaris.ts -var MAJOR_STARS = [ - "\u7D2B\u5FAE", - "\u5929\u6A5F", - "\u592A\u967D", - "\u6B66\u66F2", - "\u5929\u540C", - "\u5EC9\u8C9E", - "\u5929\u5E9C", - "\u592A\u9670", - "\u8CAA\u72FC", - "\u5DE8\u9580", - "\u5929\u76F8", - "\u5929\u6881", - "\u4E03\u6BBA", - "\u7834\u8ECD" -]; -var PALACE_NAMES = [ - "\u547D\u5BAE", - "\u5144\u5F1F\u5BAE", - "\u592B\u59BB\u5BAE", - "\u5B50\u5973\u5BAE", - "\u8CA1\u5E1B\u5BAE", - "\u75BE\u5384\u5BAE", - "\u9077\u79FB\u5BAE", - "\u4EA4\u53CB\u5BAE", - "\u4E8B\u696D\u5BAE", - "\u7530\u5B85\u5BAE", - "\u798F\u5FB7\u5BAE", - "\u7236\u6BCD\u5BAE" -]; -function getFatepalace(lunarMonth, hourIndex) { - return (2 + lunarMonth - 1 - hourIndex + 12) % 12; -} -function getBodyPalace(lunarMonth, hourIndex) { - return (2 + lunarMonth - 1 + hourIndex) % 12; -} -function getPalaceStems(yearStem) { - const startStemIdx = { - "\u7532": 2, - "\u5DF1": 2, - // 丙 - "\u4E59": 4, - "\u5E9A": 4, - // 戊 - "\u4E19": 6, - "\u8F9B": 6, - // 庚 - "\u4E01": 8, - "\u58EC": 8, - // 壬 - "\u620A": 0, - "\u7678": 0 - // 甲 - }; - const start = startStemIdx[yearStem]; - const stems = []; - for (let i = 0; i < 12; i++) { - const branchOffset = (i - 2 + 12) % 12; - stems[i] = STEMS[(start + branchOffset) % 10]; - } - return stems; -} -function getElementPattern(fatePalaceIndex, yearStem) { - const palaceStems = getPalaceStems(yearStem); - const stem = palaceStems[fatePalaceIndex]; - const branch = BRANCHES[fatePalaceIndex]; - const naYinElement = getCycleElement(`${stem}${branch}`); - const elementToJu = { - "\u6C34": 2, - "\u6728": 3, - "\u91D1": 4, - "\u571F": 5, - "\u706B": 6 - }; - return elementToJu[naYinElement] || 2; -} -function getZiWeiPosition(birthDay, elementPattern) { - const ju = elementPattern; - let position; - const quotient = Math.ceil(birthDay / ju); - let day = birthDay; - let palace = 2; - const steps = Math.floor((day - 1) / ju); - const remainder = (day - 1) % ju + 1; - palace = (2 + steps) % 12; - if (remainder > 1) { - for (let r = 2; r <= remainder; r++) { - if (r % 2 === 0) { - palace = (palace + 12 - 1) % 12; - } else { - palace = (palace + 1) % 12; - } - } - } - return palace; -} -function placeZiWeiGroup(ziWeiIdx) { - return { - "\u7D2B\u5FAE": ziWeiIdx, - "\u5929\u6A5F": (ziWeiIdx - 1 + 12) % 12, - "\u592A\u967D": (ziWeiIdx - 3 + 12) % 12, - // skip one - "\u6B66\u66F2": (ziWeiIdx - 4 + 12) % 12, - "\u5929\u540C": (ziWeiIdx - 5 + 12) % 12, - "\u5EC9\u8C9E": (ziWeiIdx - 8 + 12) % 12 - // skip two - }; -} -function placeTianFuGroup(ziWeiIdx) { - const tianFuIdx = (4 - ziWeiIdx + 12) % 12; - return { - "\u5929\u5E9C": tianFuIdx, - "\u592A\u9670": (tianFuIdx + 1) % 12, - "\u8CAA\u72FC": (tianFuIdx + 2) % 12, - "\u5DE8\u9580": (tianFuIdx + 3) % 12, - "\u5929\u76F8": (tianFuIdx + 4) % 12, - "\u5929\u6881": (tianFuIdx + 5) % 12, - "\u4E03\u6BBA": (tianFuIdx + 6) % 12, - "\u7834\u8ECD": (tianFuIdx + 10) % 12 - }; -} -var SI_HUA_TABLE = { - "\u7532": ["\u5EC9\u8C9E", "\u7834\u8ECD", "\u6B66\u66F2", "\u592A\u967D"], - "\u4E59": ["\u5929\u6A5F", "\u5929\u6881", "\u7D2B\u5FAE", "\u592A\u9670"], - "\u4E19": ["\u5929\u540C", "\u5929\u6A5F", "\u6587\u660C", "\u5EC9\u8C9E"], - "\u4E01": ["\u592A\u9670", "\u5929\u540C", "\u5929\u6A5F", "\u5DE8\u9580"], - "\u620A": ["\u8CAA\u72FC", "\u592A\u9670", "\u53F3\u5F3C", "\u5929\u6A5F"], - "\u5DF1": ["\u6B66\u66F2", "\u8CAA\u72FC", "\u5929\u6881", "\u6587\u66F2"], - "\u5E9A": ["\u592A\u967D", "\u6B66\u66F2", "\u592A\u9670", "\u5929\u540C"], - "\u8F9B": ["\u5DE8\u9580", "\u592A\u967D", "\u6587\u66F2", "\u6587\u660C"], - "\u58EC": ["\u5929\u6881", "\u7D2B\u5FAE", "\u5DE6\u8F14", "\u6B66\u66F2"], - "\u7678": ["\u7834\u8ECD", "\u5DE8\u9580", "\u592A\u9670", "\u8CAA\u72FC"] -}; -function computeSiHua(yearStem) { - const [lu, quan, ke, ji] = SI_HUA_TABLE[yearStem]; - return { lu, quan, ke, ji }; -} -function computeZiWei(birth) { - const yearStemIdx = (birth.year - 4) % 10; - const yearStem = STEMS[yearStemIdx >= 0 ? yearStemIdx : yearStemIdx + 10]; - const fatePalaceIndex = getFatepalace(birth.month, birth.hour); - const bodyPalaceIndex = getBodyPalace(birth.month, birth.hour); - const taiSuiIndex = ((birth.year - 4) % 12 + 12) % 12; - const elementPattern = getElementPattern(fatePalaceIndex, yearStem); - const ziWeiIdx = getZiWeiPosition(birth.day, elementPattern); - const ziWeiGroup = placeZiWeiGroup(ziWeiIdx); - const tianFuGroup = placeTianFuGroup(ziWeiIdx); - const allStarPlacements = { ...ziWeiGroup, ...tianFuGroup }; - const palaceStems = getPalaceStems(yearStem); - const palaces = []; - for (let i = 0; i < 12; i++) { - const nameIdx = (i - fatePalaceIndex + 12) % 12; - const name = PALACE_NAMES[nameIdx]; - const majorStars = []; - for (const [star, palaceIdx] of Object.entries(allStarPlacements)) { - if (palaceIdx === i) { - majorStars.push(star); - } - } - palaces.push({ - name, - branch: BRANCHES[i], - stem: palaceStems[i], - majorStars - }); - } - const siHua = computeSiHua(yearStem); - return { - palaces, - elementPattern, - siHua, - birthData: birth, - fatePalaceIndex, - bodyPalaceIndex, - taiSuiIndex - }; -} - -// src/salary-star.ts -var SALARY_STAR = { - "\u7532": "\u5BC5", - "\u4E59": "\u536F", - "\u4E19": "\u5DF3", - "\u4E01": "\u5348", - "\u620A": "\u5DF3", - "\u5DF1": "\u5348", - "\u5E9A": "\u7533", - "\u8F9B": "\u9149", - "\u58EC": "\u4EA5", - "\u7678": "\u5B50" -}; -function getSalaryStar(stem) { - return SALARY_STAR[stem]; -} - -// src/virtue-stars.ts -var STEMS3 = "\u7532\u4E59\u4E19\u4E01\u620A\u5DF1\u5E9A\u8F9B\u58EC\u7678"; -var STEM_COMBO = { - "\u7532": "\u5DF1", - "\u5DF1": "\u7532", - "\u4E59": "\u5E9A", - "\u5E9A": "\u4E59", - "\u4E19": "\u8F9B", - "\u8F9B": "\u4E19", - "\u4E01": "\u58EC", - "\u58EC": "\u4E01", - "\u620A": "\u7678", - "\u7678": "\u620A" -}; -var BRANCH_COMBO = { - "\u5B50": "\u4E11", - "\u4E11": "\u5B50", - "\u5BC5": "\u4EA5", - "\u4EA5": "\u5BC5", - "\u536F": "\u620C", - "\u620C": "\u536F", - "\u8FB0": "\u9149", - "\u9149": "\u8FB0", - "\u5DF3": "\u7533", - "\u7533": "\u5DF3", - "\u5348": "\u672A", - "\u672A": "\u5348" -}; -var MONTHLY_VIRTUE = { - "\u5BC5": "\u4E19", - "\u5348": "\u4E19", - "\u620C": "\u4E19", - "\u4EA5": "\u7532", - "\u536F": "\u7532", - "\u672A": "\u7532", - "\u7533": "\u58EC", - "\u5B50": "\u58EC", - "\u8FB0": "\u58EC", - "\u5DF3": "\u5E9A", - "\u9149": "\u5E9A", - "\u4E11": "\u5E9A" -}; -function getMonthlyVirtue(monthBranch) { - return MONTHLY_VIRTUE[monthBranch]; -} -function getMonthlyVirtueCombo(monthBranch) { - return STEM_COMBO[MONTHLY_VIRTUE[monthBranch]]; -} -var HEAVENLY_VIRTUE = { - "\u5BC5": "\u4E01", - "\u536F": "\u7533", - "\u8FB0": "\u58EC", - "\u5DF3": "\u8F9B", - "\u5348": "\u4EA5", - "\u672A": "\u7532", - "\u7533": "\u7678", - "\u9149": "\u5BC5", - "\u620C": "\u4E19", - "\u4EA5": "\u4E59", - "\u5B50": "\u5DF3", - "\u4E11": "\u5E9A" -}; -function getHeavenlyVirtue(monthBranch) { - return HEAVENLY_VIRTUE[monthBranch]; -} -function getHeavenlyVirtueCombo(monthBranch) { - const hv = HEAVENLY_VIRTUE[monthBranch]; - if (STEMS3.includes(hv)) { - return STEM_COMBO[hv]; - } - return BRANCH_COMBO[hv]; -} - -// src/luck-pillars.ts -function getLuckDirection(yearStem, gender) { - const isYang = stemPolarity(yearStem) === "\u967D"; - const isMale = gender === "male"; - return isYang === isMale ? "forward" : "backward"; -} -var MS_PER_DAY = 24 * 60 * 60 * 1e3; -function computeStartAge(birthDate, direction) { - const year = birthDate.getUTCFullYear(); - const terms = [ - ...getMonthBoundaryTerms(year - 1), - ...getMonthBoundaryTerms(year), - ...getMonthBoundaryTerms(year + 1) - ].sort((a, b) => a.date.getTime() - b.date.getTime()); - const birthMs = birthDate.getTime(); - if (direction === "forward") { - const next = terms.find((t) => t.date.getTime() > birthMs); - if (!next) throw new Error("Cannot find next \u7BC0"); - const days = Math.round((next.date.getTime() - birthMs) / MS_PER_DAY); - return Math.max(1, Math.round(days / 3)); - } else { - const prev = [...terms].reverse().find((t) => t.date.getTime() <= birthMs); - if (!prev) throw new Error("Cannot find previous \u7BC0"); - const days = Math.round((birthMs - prev.date.getTime()) / MS_PER_DAY); - return Math.max(1, Math.round(days / 3)); - } -} -function computeMajorLuck(birthDate, gender, count = 8) { - const pillars = computeFourPillars(birthDate); - const direction = getLuckDirection(pillars.year.stem, gender); - const startAge = computeStartAge(birthDate, direction); - const monthIdx = stemBranchCycleIndex(pillars.month.stem, pillars.month.branch); - const step = direction === "forward" ? 1 : -1; - const periods = []; - for (let i = 0; i < count; i++) { - const cycleIdx = ((monthIdx + (i + 1) * step) % 60 + 60) % 60; - const pillar = stemBranchByCycleIndex(cycleIdx); - periods.push({ - pillar, - startAge: startAge + i * 10, - endAge: startAge + i * 10 + 9 - }); - } - return { direction, startAge, periods }; -} -function computeMinorLuck(hourPillar, direction, fromAge, toAge) { - const hourIdx = stemBranchCycleIndex(hourPillar.stem, hourPillar.branch); - const step = direction === "forward" ? 1 : -1; - const result = []; - for (let age = fromAge; age <= toAge; age++) { - const cycleIdx = ((hourIdx + age * step) % 60 + 60) % 60; - result.push({ - age, - pillar: stemBranchByCycleIndex(cycleIdx) - }); - } - return result; -} - -// src/tz-data.ts -var TZ_INITIAL_OFFSETS = { - "Africa/Cairo": 125.15, - "Africa/Casablanca": -30.333333333333332, - "Africa/Johannesburg": 90, - "Africa/Lagos": 13.583333333333334, - "Africa/Nairobi": 147.26666666666668, - "America/Argentina/Buenos_Aires": -256.8, - "America/Bogota": -296.26666666666665, - "America/Chicago": -360, - "America/Denver": -420, - "America/Lima": -308.6, - "America/Los_Angeles": -480, - "America/Mexico_City": -396.6, - "America/New_York": -300, - "America/Phoenix": -420, - "America/Santiago": -282.75, - "America/Sao_Paulo": -186.46666666666667, - "America/Toronto": -300, - "America/Vancouver": -480, - "Asia/Amman": 143.73333333333332, - "Asia/Baghdad": 177.6, - "Asia/Bangkok": 402.06666666666666, - "Asia/Beirut": 120, - "Asia/Brunei": 441.3333333333333, - "Asia/Colombo": 319.53333333333336, - "Asia/Dhaka": 353.3333333333333, - "Asia/Dubai": 221.2, - "Asia/Ho_Chi_Minh": 426.5, - "Asia/Hong_Kong": 456.7, - "Asia/Jakarta": 427.2, - "Asia/Jerusalem": 140.66666666666666, - "Asia/Karachi": 268.2, - "Asia/Kathmandu": 341.26666666666665, - "Asia/Kolkata": 321.1666666666667, - "Asia/Kuala_Lumpur": 415.4166666666667, - "Asia/Kuching": 441.3333333333333, - "Asia/Macau": 454.1666666666667, - "Asia/Makassar": 477.6, - "Asia/Manila": 480, - "Asia/Phnom_Penh": 402.06666666666666, - "Asia/Pyongyang": 503, - "Asia/Riyadh": 186.86666666666667, - "Asia/Seoul": 507.8666666666667, - "Asia/Shanghai": 485.71666666666664, - "Asia/Singapore": 415.4166666666667, - "Asia/Taipei": 480, - "Asia/Tehran": 205.73333333333332, - "Asia/Tokyo": 540, - "Asia/Ulaanbaatar": 427.53333333333336, - "Asia/Urumqi": 350.3333333333333, - "Asia/Vientiane": 402.06666666666666, - "Asia/Yangon": 384.78333333333336, - "Australia/Adelaide": 570, - "Australia/Brisbane": 600, - "Australia/Melbourne": 600, - "Australia/Perth": 480, - "Australia/Sydney": 600, - "Europe/Amsterdam": 0, - "Europe/Athens": 94.86666666666666, - "Europe/Berlin": 60, - "Europe/Brussels": 0, - "Europe/Budapest": 60, - "Europe/Copenhagen": 60, - "Europe/Dublin": -25.35, - "Europe/Helsinki": 99.81666666666666, - "Europe/Istanbul": 116.93333333333334, - "Europe/Lisbon": -36.75, - "Europe/London": 0, - "Europe/Madrid": -14.733333333333333, - "Europe/Moscow": 150.28333333333333, - "Europe/Paris": 9.35, - "Europe/Prague": 60, - "Europe/Rome": 60, - "Europe/Stockholm": 60, - "Europe/Vienna": 60, - "Europe/Warsaw": 84, - "Europe/Zurich": 60, - "Pacific/Auckland": 690, - "Pacific/Honolulu": -630 -}; -var TZ_TRANSITIONS = { - "Africa/Cairo": [-2185409110, 125.15, 0, -2185409109, 120, 0, -929844001, 120, 0, -929844e3, 180, 1, -923108401, 180, 1, -923108400, 120, 0, -906170401, 120, 0, -906170400, 180, 1, -892868401, 180, 1, -892868400, 120, 0, -875844001, 120, 0, -875844e3, 180, 1, -857790001, 180, 1, -85779e4, 120, 0, -844308001, 120, 0, -844308e3, 180, 1, -825822001, 180, 1, -825822e3, 120, 0, -812685601, 120, 0, -812685600, 180, 1, -794199601, 180, 1, -794199600, 120, 0, 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/ 3; - if (tripleCount === 0) { - const initial = TZ_INITIAL_OFFSETS[timezoneId]; - return initial != null ? { offsetMinutes: initial, isDst: false } : null; - } - if (utcSeconds < transitions[0]) { - const initial = TZ_INITIAL_OFFSETS[timezoneId]; - return initial != null ? { offsetMinutes: initial, isDst: false } : null; - } - let lo = 0; - let hi = tripleCount - 1; - while (lo < hi) { - const mid = lo + Math.ceil((hi - lo) / 2); - if (transitions[mid * 3] <= utcSeconds) { - lo = mid; - } else { - hi = mid - 1; - } - } - return { - offsetMinutes: transitions[lo * 3 + 1], - isDst: transitions[lo * 3 + 2] === 1 - }; -} - -// src/timezone.ts -function localToUtc(year, month, day, hour, minute, timezoneId) { - const pad = (n) => String(n).padStart(2, "0"); - const localStr = `${year}-${pad(month)}-${pad(day)}T${pad(hour)}:${pad(minute)}:00`; - let estimate = /* @__PURE__ */ new Date(localStr + "Z"); - const offset = getTimezoneOffsetMs(estimate, timezoneId); - estimate = new Date(estimate.getTime() - offset); - const offset2 = getTimezoneOffsetMs(estimate, timezoneId); - if (offset2 !== offset) { - estimate = new Date((/* @__PURE__ */ new Date(localStr + "Z")).getTime() - offset2); - } - return estimate; -} -function getUtcOffset(year, month, day, hour, minute, timezoneId) { - const utc = localToUtc(year, month, day, hour, minute, timezoneId); - const pad = (n) => String(n).padStart(2, "0"); - const localStr = `${year}-${pad(month)}-${pad(day)}T${pad(hour)}:${pad(minute)}:00`; - const localAsUtc = /* @__PURE__ */ new Date(localStr + "Z"); - return Math.round((localAsUtc.getTime() - utc.getTime()) / 6e4); -} -function isDst(year, month, day, hour, minute, timezoneId) { - const current = getUtcOffset(year, month, day, hour, minute, timezoneId); - const jan = getUtcOffset(year, 1, 15, 12, 0, timezoneId); - const jul = getUtcOffset(year, 7, 15, 12, 0, timezoneId); - const standardOffset = Math.min(jan, jul); - return current > standardOffset; -} -function getStandardMeridian(year, month, day, hour, minute, timezoneId) { - const offsetMinutes = getUtcOffset(year, month, day, hour, minute, timezoneId); - return offsetMinutes / 4; -} -function utcToLocal(date, timezoneId) { - const utcSeconds = Math.floor(date.getTime() / 1e3); - const embedded = getEmbeddedOffset(utcSeconds, timezoneId); - if (embedded !== null) { - const localMs = date.getTime() + embedded.offsetMinutes * 6e4; - const local = new Date(localMs); - return { - year: local.getUTCFullYear(), - month: local.getUTCMonth() + 1, - day: local.getUTCDate(), - hour: local.getUTCHours(), - minute: local.getUTCMinutes(), - second: local.getUTCSeconds() - }; - } - const parts = new Intl.DateTimeFormat("en-US", { - timeZone: timezoneId, - year: "numeric", - month: "2-digit", - day: "2-digit", - hour: "2-digit", - minute: "2-digit", - second: "2-digit", - hour12: false - }).formatToParts(date); - const get = (type) => { - const part = parts.find((p) => p.type === type); - return part ? parseInt(part.value, 10) : 0; - }; - return { - year: get("year"), - month: get("month"), - day: get("day"), - /* v8 ignore next */ - hour: get("hour") === 24 ? 0 : get("hour"), - minute: get("minute"), - second: get("second") - }; -} -function formatUtcOffset(offsetMinutes) { - const sign = offsetMinutes >= 0 ? "+" : "-"; - const abs = Math.abs(offsetMinutes); - const h = Math.floor(abs / 60); - const m = abs % 60; - return `${sign}${String(h).padStart(2, "0")}:${String(m).padStart(2, "0")}`; -} -function timezoneFromLongitude(longitude) { - const offsetHours = Math.round(longitude / 15); - const etcSign = offsetHours >= 0 ? "-" : "+"; - return `Etc/GMT${etcSign}${Math.abs(offsetHours)}`; -} -function wallClockToSolarTime(year, month, day, hour, minute, timezoneId, longitude) { - const utcDate = localToUtc(year, month, day, hour, minute, timezoneId); - const offsetMinutes = getUtcOffset(year, month, day, hour, minute, timezoneId); - const standardMeridian = offsetMinutes / 4; - const localMs = utcDate.getTime() + offsetMinutes * 6e4; - const clockTime = new Date(localMs); - const eot = equationOfTime(clockTime); - const longitudeCorrection = (longitude - standardMeridian) * 4; - const totalCorrection = longitudeCorrection + eot; - const trueSolarTimeMs = clockTime.getTime() + totalCorrection * 6e4; - return { - trueSolarTime: new Date(trueSolarTimeMs), - equationOfTime: eot, - longitudeCorrection, - totalCorrection - }; -} -function getTimezoneOffsetMs(date, timezoneId) { - const utcSeconds = Math.floor(date.getTime() / 1e3); - const embedded = getEmbeddedOffset(utcSeconds, timezoneId); - if (embedded !== null) { - return embedded.offsetMinutes * 6e4; - } - return getIntlTimezoneOffsetMs(date, timezoneId); -} -function getIntlTimezoneOffsetMs(date, timezoneId) { - const parts = new Intl.DateTimeFormat("en-US", { - timeZone: timezoneId, - year: "numeric", - month: "2-digit", - day: "2-digit", - hour: "2-digit", - minute: "2-digit", - second: "2-digit", - hour12: false - }).formatToParts(date); - const get = (type) => { - const part = parts.find((p) => p.type === type); - return part ? parseInt(part.value, 10) : 0; - }; - const localDate = new Date(Date.UTC( - get("year"), - get("month") - 1, - get("day"), - /* v8 ignore next */ - get("hour") === 24 ? 0 : get("hour"), - get("minute"), - get("second") - )); - return localDate.getTime() - date.getTime(); -} - -// src/cities.ts -var CITY_REGIONS = [ - { key: "china", label: "\u4E2D\u570B\u5927\u9678", labelEn: "Mainland China" }, - { key: "taiwan", label: "\u53F0\u7063", labelEn: "Taiwan" }, - { key: "hongkong", label: "\u6E2F\u6FB3", labelEn: "HK/Macau" }, - { key: "sea", label: "\u6771\u5357\u4E9E", labelEn: "Southeast Asia" }, - { key: "eastasia", label: "\u6771\u4E9E", labelEn: "East Asia" }, - { key: "southasia", label: "\u5357\u4E9E", labelEn: "South Asia" }, - { key: "middleeast", label: "\u4E2D\u6771", labelEn: "Middle East" }, - { key: "europe", label: "\u6B50\u6D32", labelEn: "Europe" }, - { key: "americas", label: "\u7F8E\u6D32", labelEn: "Americas" }, - { key: "oceania", label: "\u5927\u6D0B\u6D32", labelEn: "Oceania" }, - { key: "africa", label: "\u975E\u6D32", labelEn: "Africa" } -]; -var CITIES = [ - // ═══ 中國大陸 (Mainland China) ═══════════════════════════════ - // All use Asia/Shanghai (UTC+8) except Urumqi - { name: "\u5317\u4EAC", nameEn: "Beijing", timezoneId: "Asia/Shanghai", longitude: 116.4, latitude: 39.9, region: "china" }, - { name: "\u4E0A\u6D77", nameEn: "Shanghai", timezoneId: "Asia/Shanghai", longitude: 121.5, latitude: 31.2, region: "china" }, - { name: "\u5EE3\u5DDE", nameEn: "Guangzhou", timezoneId: "Asia/Shanghai", longitude: 113.3, latitude: 23.1, region: "china" }, - { name: "\u6DF1\u5733", nameEn: "Shenzhen", timezoneId: "Asia/Shanghai", longitude: 114.1, latitude: 22.5, region: "china" }, - { name: "\u6210\u90FD", nameEn: "Chengdu", timezoneId: "Asia/Shanghai", longitude: 104.1, latitude: 30.6, region: "china" }, - { name: "\u91CD\u6176", nameEn: "Chongqing", timezoneId: "Asia/Shanghai", longitude: 106.6, latitude: 29.6, region: "china" }, - { name: "\u6B66\u6F22", nameEn: "Wuhan", timezoneId: "Asia/Shanghai", longitude: 114.3, latitude: 30.6, region: "china" }, - { name: "\u5357\u4EAC", nameEn: "Nanjing", timezoneId: "Asia/Shanghai", longitude: 118.8, latitude: 32.1, region: "china" }, - { name: "\u676D\u5DDE", nameEn: "Hangzhou", timezoneId: "Asia/Shanghai", longitude: 120.2, latitude: 30.3, region: "china" }, - { name: "\u897F\u5B89", nameEn: "Xi'an", timezoneId: "Asia/Shanghai", longitude: 108.9, latitude: 34.3, region: "china" }, - { name: "\u5929\u6D25", nameEn: "Tianjin", timezoneId: "Asia/Shanghai", longitude: 117.2, latitude: 39.1, region: "china" }, - { name: "\u8607\u5DDE", nameEn: "Suzhou", timezoneId: "Asia/Shanghai", longitude: 120.6, latitude: 31.3, region: "china" }, - { name: "\u9577\u6C99", nameEn: "Changsha", timezoneId: "Asia/Shanghai", longitude: 112.9, latitude: 28.2, region: "china" }, - { name: "\u912D\u5DDE", nameEn: "Zhengzhou", timezoneId: "Asia/Shanghai", longitude: 113.7, latitude: 34.8, region: "china" }, - { name: "\u6FDF\u5357", nameEn: "Jinan", timezoneId: "Asia/Shanghai", longitude: 117, latitude: 36.7, region: "china" }, - { name: "\u9752\u5CF6", nameEn: "Qingdao", timezoneId: "Asia/Shanghai", longitude: 120.4, latitude: 36.1, region: "china" }, - { name: "\u798F\u5DDE", nameEn: "Fuzhou", timezoneId: "Asia/Shanghai", longitude: 119.3, latitude: 26.1, region: "china" }, - { name: "\u5EC8\u9580", nameEn: "Xiamen", timezoneId: "Asia/Shanghai", longitude: 118.1, latitude: 24.5, region: "china" }, - { name: "\u5BE7\u6CE2", nameEn: "Ningbo", timezoneId: "Asia/Shanghai", longitude: 121.5, latitude: 29.9, region: "china" }, - { name: "\u5408\u80A5", nameEn: "Hefei", timezoneId: "Asia/Shanghai", longitude: 117.3, latitude: 31.8, region: "china" }, - { name: "\u5357\u660C", nameEn: "Nanchang", timezoneId: "Asia/Shanghai", longitude: 115.9, latitude: 28.7, region: "china" }, - { name: "\u6606\u660E", nameEn: "Kunming", timezoneId: "Asia/Shanghai", longitude: 102.7, latitude: 25, region: "china" }, - { name: "\u8CB4\u967D", nameEn: "Guiyang", timezoneId: "Asia/Shanghai", longitude: 106.7, latitude: 26.6, region: "china" }, - { name: "\u5357\u5BE7", nameEn: "Nanning", timezoneId: "Asia/Shanghai", longitude: 108.3, latitude: 22.8, region: "china" }, - { name: "\u6D77\u53E3", nameEn: "Haikou", timezoneId: "Asia/Shanghai", longitude: 110.3, latitude: 20, region: "china" }, - { name: "\u592A\u539F", nameEn: "Taiyuan", timezoneId: "Asia/Shanghai", longitude: 112.5, latitude: 37.9, region: "china" }, - { name: "\u77F3\u5BB6\u838A", nameEn: "Shijiazhuang", timezoneId: "Asia/Shanghai", longitude: 114.5, latitude: 38, region: "china" }, - { name: "\u54C8\u723E\u6FF1", nameEn: "Harbin", timezoneId: "Asia/Shanghai", longitude: 126.6, latitude: 45.8, region: "china" }, - { name: "\u9577\u6625", nameEn: "Changchun", timezoneId: "Asia/Shanghai", longitude: 125.3, latitude: 43.9, region: "china" }, - { name: "\u700B\u967D", nameEn: "Shenyang", timezoneId: "Asia/Shanghai", longitude: 123.4, latitude: 41.8, region: "china" }, - { name: "\u5927\u9023", nameEn: "Dalian", timezoneId: "Asia/Shanghai", longitude: 121.6, latitude: 38.9, region: "china" }, - { name: "\u862D\u5DDE", nameEn: "Lanzhou", timezoneId: "Asia/Shanghai", longitude: 103.8, latitude: 36.1, region: "china" }, - { name: "\u9280\u5DDD", nameEn: "Yinchuan", timezoneId: "Asia/Shanghai", longitude: 106.3, latitude: 38.5, region: "china" }, - { name: "\u897F\u5BE7", nameEn: "Xining", timezoneId: "Asia/Shanghai", longitude: 101.8, latitude: 36.6, region: "china" }, - { name: "\u547C\u548C\u6D69\u7279", nameEn: "Hohhot", timezoneId: "Asia/Shanghai", longitude: 111.7, latitude: 40.8, region: "china" }, - { name: "\u70CF\u9B6F\u6728\u9F4A", nameEn: "Urumqi", timezoneId: "Asia/Urumqi", longitude: 87.6, latitude: 43.8, region: "china" }, - { name: "\u62C9\u85A9", nameEn: "Lhasa", timezoneId: "Asia/Shanghai", longitude: 91.1, latitude: 29.7, region: "china" }, - { name: "\u4F5B\u5C71", nameEn: "Foshan", timezoneId: "Asia/Shanghai", longitude: 113.1, latitude: 23, region: "china" }, - { name: "\u6771\u839E", nameEn: "Dongguan", timezoneId: "Asia/Shanghai", longitude: 113.8, latitude: 23, region: "china" }, - { name: "\u73E0\u6D77", nameEn: "Zhuhai", timezoneId: "Asia/Shanghai", longitude: 113.6, latitude: 22.3, region: "china" }, - { name: "\u6C55\u982D", nameEn: "Shantou", timezoneId: "Asia/Shanghai", longitude: 116.7, latitude: 23.4, region: "china" }, - { name: "\u6F6E\u5DDE", nameEn: "Chaozhou", timezoneId: "Asia/Shanghai", longitude: 116.6, latitude: 23.7, region: "china" }, - { name: "\u6EAB\u5DDE", nameEn: "Wenzhou", timezoneId: "Asia/Shanghai", longitude: 120.7, latitude: 28, region: "china" }, - { name: "\u7121\u932B", nameEn: "Wuxi", timezoneId: "Asia/Shanghai", longitude: 120.3, latitude: 31.6, region: "china" }, - // ═══ 台灣 (Taiwan) ════════════════════════════════════════════ - { name: "\u53F0\u5317", nameEn: "Taipei", timezoneId: "Asia/Taipei", longitude: 121.6, latitude: 25, region: "taiwan" }, - { name: "\u9AD8\u96C4", nameEn: "Kaohsiung", timezoneId: "Asia/Taipei", longitude: 120.3, latitude: 22.6, region: "taiwan" }, - { name: "\u53F0\u4E2D", nameEn: "Taichung", timezoneId: "Asia/Taipei", longitude: 120.7, latitude: 24.1, region: "taiwan" }, - { name: "\u53F0\u5357", nameEn: "Tainan", timezoneId: "Asia/Taipei", longitude: 120.2, latitude: 23, region: "taiwan" }, - { name: "\u65B0\u7AF9", nameEn: "Hsinchu", timezoneId: "Asia/Taipei", longitude: 120.9, latitude: 24.8, region: "taiwan" }, - { name: "\u6843\u5712", nameEn: "Taoyuan", timezoneId: "Asia/Taipei", longitude: 121.3, latitude: 25, region: "taiwan" }, - { name: "\u82B1\u84EE", nameEn: "Hualien", timezoneId: "Asia/Taipei", longitude: 121.6, latitude: 24, region: "taiwan" }, - { name: "\u5609\u7FA9", nameEn: "Chiayi", timezoneId: "Asia/Taipei", longitude: 120.4, latitude: 23.5, region: "taiwan" }, - // ═══ 港澳 (Hong Kong / Macau) ═════════════════════════════════ - { name: "\u9999\u6E2F", nameEn: "Hong Kong", timezoneId: "Asia/Hong_Kong", longitude: 114.2, latitude: 22.3, region: "hongkong" }, - { name: "\u6FB3\u9580", nameEn: "Macau", timezoneId: "Asia/Macau", longitude: 113.5, latitude: 22.2, region: "hongkong" }, - // ═══ 東南亞 (Southeast Asia) ═══════════════════════════════════ - { name: "\u65B0\u52A0\u5761", nameEn: "Singapore", timezoneId: "Asia/Singapore", longitude: 103.8, latitude: 1.4, region: "sea" }, - { name: "\u5409\u9686\u5761", nameEn: "Kuala Lumpur", timezoneId: "Asia/Kuala_Lumpur", longitude: 101.7, latitude: 3.1, region: "sea" }, - { name: "\u6AB3\u57CE", nameEn: "Penang", timezoneId: "Asia/Kuala_Lumpur", longitude: 100.3, latitude: 5.4, region: "sea" }, - { name: "\u65B0\u5C71", nameEn: "Johor Bahru", timezoneId: "Asia/Kuala_Lumpur", longitude: 103.8, latitude: 1.5, region: "sea" }, - { name: "\u53E4\u6649", nameEn: "Kuching", timezoneId: "Asia/Kuching", longitude: 110.3, latitude: 1.5, region: "sea" }, - { name: "\u4E9E\u5E87", nameEn: "Kota Kinabalu", timezoneId: "Asia/Kuching", longitude: 116.1, latitude: 6, region: "sea" }, - { name: "\u66FC\u8C37", nameEn: "Bangkok", timezoneId: "Asia/Bangkok", longitude: 100.5, latitude: 13.8, region: "sea" }, - { name: "\u6E05\u9081", nameEn: "Chiang Mai", timezoneId: "Asia/Bangkok", longitude: 98.9, latitude: 18.8, region: "sea" }, - { name: "\u80E1\u5FD7\u660E\u5E02", nameEn: "Ho Chi Minh City", timezoneId: "Asia/Ho_Chi_Minh", longitude: 106.7, latitude: 10.8, region: "sea" }, - { name: "\u6CB3\u5167", nameEn: "Hanoi", timezoneId: "Asia/Ho_Chi_Minh", longitude: 105.8, latitude: 21, region: "sea" }, - { name: "\u5CF4\u6E2F", nameEn: "Da Nang", timezoneId: "Asia/Ho_Chi_Minh", longitude: 108.2, latitude: 16.1, region: "sea" }, - { name: "\u96C5\u52A0\u9054", nameEn: "Jakarta", timezoneId: "Asia/Jakarta", longitude: 106.8, latitude: -6.2, region: "sea" }, - { name: "\u6CD7\u6C34", nameEn: "Surabaya", timezoneId: "Asia/Jakarta", longitude: 112.8, latitude: -7.3, region: "sea" }, - { name: "\u5CC7\u91CC\u5CF6", nameEn: "Bali", timezoneId: "Asia/Makassar", longitude: 115.2, latitude: -8.7, region: "sea" }, - { name: "\u99AC\u5C3C\u62C9", nameEn: "Manila", timezoneId: "Asia/Manila", longitude: 121, latitude: 14.6, region: "sea" }, - { name: "\u5BBF\u9727", nameEn: "Cebu", timezoneId: "Asia/Manila", longitude: 123.9, latitude: 10.3, region: "sea" }, - { name: "\u4EF0\u5149", nameEn: "Yangon", timezoneId: "Asia/Yangon", longitude: 96.2, latitude: 16.9, region: "sea" }, - { name: "\u91D1\u908A", nameEn: "Phnom Penh", timezoneId: "Asia/Phnom_Penh", longitude: 104.9, latitude: 11.6, region: "sea" }, - { name: "\u6C38\u73CD", nameEn: "Vientiane", timezoneId: "Asia/Vientiane", longitude: 102.6, latitude: 17.9, region: "sea" }, - { name: "\u65AF\u91CC\u5DF4\u52A0\u7063", nameEn: "Bandar Seri Begawan", timezoneId: "Asia/Brunei", longitude: 114.9, latitude: 4.9, region: "sea" }, - // ═══ 東亞 (East Asia – Japan, Korea, Mongolia) ═════════════════ - { name: "\u6771\u4EAC", nameEn: "Tokyo", timezoneId: "Asia/Tokyo", longitude: 139.7, latitude: 35.7, region: "eastasia" }, - { name: "\u5927\u962A", nameEn: "Osaka", timezoneId: "Asia/Tokyo", longitude: 135.5, latitude: 34.7, region: "eastasia" }, - { name: "\u4EAC\u90FD", nameEn: "Kyoto", timezoneId: "Asia/Tokyo", longitude: 135.8, latitude: 35, region: "eastasia" }, - { name: "\u540D\u53E4\u5C4B", nameEn: "Nagoya", timezoneId: "Asia/Tokyo", longitude: 136.9, latitude: 35.2, region: "eastasia" }, - { name: "\u672D\u5E4C", nameEn: "Sapporo", timezoneId: "Asia/Tokyo", longitude: 141.3, latitude: 43.1, region: "eastasia" }, - { name: "\u798F\u5CA1", nameEn: "Fukuoka", timezoneId: "Asia/Tokyo", longitude: 130.4, latitude: 33.6, region: "eastasia" }, - { name: "\u6A6B\u6FF1", nameEn: "Yokohama", timezoneId: "Asia/Tokyo", longitude: 139.6, latitude: 35.4, region: "eastasia" }, - { name: "\u9996\u723E", nameEn: "Seoul", timezoneId: "Asia/Seoul", longitude: 127, latitude: 37.6, region: "eastasia" }, - { name: "\u91DC\u5C71", nameEn: "Busan", timezoneId: "Asia/Seoul", longitude: 129.1, latitude: 35.2, region: "eastasia" }, - { name: "\u4EC1\u5DDD", nameEn: "Incheon", timezoneId: "Asia/Seoul", longitude: 126.7, latitude: 37.5, region: "eastasia" }, - { name: "\u5E73\u58E4", nameEn: "Pyongyang", timezoneId: "Asia/Pyongyang", longitude: 125.8, latitude: 39, region: "eastasia" }, - { name: "\u70CF\u862D\u5DF4\u6258", nameEn: "Ulaanbaatar", timezoneId: "Asia/Ulaanbaatar", longitude: 106.9, latitude: 47.9, region: "eastasia" }, - // ═══ 南亞 (South Asia) ════════════════════════════════════════ - { name: "\u5B5F\u8CB7", nameEn: "Mumbai", timezoneId: "Asia/Kolkata", longitude: 72.9, latitude: 19.1, region: "southasia" }, - { name: "\u5FB7\u91CC", nameEn: "Delhi", timezoneId: "Asia/Kolkata", longitude: 77.2, latitude: 28.6, region: "southasia" }, - { name: "\u52A0\u723E\u5404\u7B54", nameEn: "Kolkata", timezoneId: "Asia/Kolkata", longitude: 88.4, latitude: 22.6, region: "southasia" }, - { name: "\u73ED\u52A0\u7F85\u723E", nameEn: "Bangalore", timezoneId: "Asia/Kolkata", longitude: 77.6, latitude: 13, region: "southasia" }, - { name: "\u6E05\u5948", nameEn: "Chennai", timezoneId: "Asia/Kolkata", longitude: 80.3, latitude: 13.1, region: "southasia" }, - { name: "\u52A0\u5FB7\u6EFF\u90FD", nameEn: "Kathmandu", timezoneId: "Asia/Kathmandu", longitude: 85.3, latitude: 27.7, region: "southasia" }, - { name: "\u9054\u5361", nameEn: "Dhaka", timezoneId: "Asia/Dhaka", longitude: 90.4, latitude: 23.8, region: "southasia" }, - { name: "\u53EF\u502B\u5761", nameEn: "Colombo", timezoneId: "Asia/Colombo", longitude: 79.9, latitude: 6.9, region: "southasia" }, - { name: "\u5361\u62C9\u5947", nameEn: "Karachi", timezoneId: "Asia/Karachi", longitude: 67, latitude: 24.9, region: "southasia" }, - { name: "\u62C9\u5408\u723E", nameEn: "Lahore", timezoneId: "Asia/Karachi", longitude: 74.3, latitude: 31.6, region: "southasia" }, - // ═══ 中東 (Middle East) ═══════════════════════════════════════ - { name: "\u675C\u62DC", nameEn: "Dubai", timezoneId: "Asia/Dubai", longitude: 55.3, latitude: 25.3, region: "middleeast" }, - { name: "\u5FB7\u9ED1\u862D", nameEn: "Tehran", timezoneId: "Asia/Tehran", longitude: 51.4, latitude: 35.7, region: "middleeast" }, - { name: "\u8036\u8DEF\u6492\u51B7", nameEn: "Jerusalem", timezoneId: "Asia/Jerusalem", longitude: 35.2, latitude: 31.8, region: "middleeast" }, - { name: "\u7279\u62C9\u7DAD\u592B", nameEn: "Tel Aviv", timezoneId: "Asia/Jerusalem", longitude: 34.8, latitude: 32.1, region: "middleeast" }, - { name: "\u4F0A\u65AF\u5766\u5E03\u723E", nameEn: "Istanbul", timezoneId: "Europe/Istanbul", longitude: 29, latitude: 41, region: "middleeast" }, - { name: "\u5B89\u5361\u62C9", nameEn: "Ankara", timezoneId: "Europe/Istanbul", longitude: 32.9, latitude: 39.9, region: "middleeast" }, - { name: "\u5229\u96C5\u5FB7", nameEn: "Riyadh", timezoneId: "Asia/Riyadh", longitude: 46.7, latitude: 24.7, region: "middleeast" }, - { name: "\u958B\u7F85", nameEn: "Cairo", timezoneId: "Africa/Cairo", longitude: 31.2, latitude: 30, region: "middleeast" }, - { name: "\u5DF4\u683C\u9054", nameEn: "Baghdad", timezoneId: "Asia/Baghdad", longitude: 44.4, latitude: 33.3, region: "middleeast" }, - { name: "\u8C9D\u9B6F\u7279", nameEn: "Beirut", timezoneId: "Asia/Beirut", longitude: 35.5, latitude: 33.9, region: "middleeast" }, - { name: "\u5B89\u66FC", nameEn: "Amman", timezoneId: "Asia/Amman", longitude: 35.9, latitude: 31.9, region: "middleeast" }, - // ═══ 歐洲 (Europe) ════════════════════════════════════════════ - { name: "\u502B\u6566", nameEn: "London", timezoneId: "Europe/London", longitude: -0.1, latitude: 51.5, region: "europe" }, - { name: "\u5DF4\u9ECE", nameEn: "Paris", timezoneId: "Europe/Paris", longitude: 2.3, latitude: 48.9, region: "europe" }, - { name: "\u67CF\u6797", nameEn: "Berlin", timezoneId: "Europe/Berlin", longitude: 13.4, latitude: 52.5, region: "europe" }, - { name: "\u963F\u59C6\u65AF\u7279\u4E39", nameEn: "Amsterdam", timezoneId: "Europe/Amsterdam", longitude: 4.9, latitude: 52.4, region: "europe" }, - { name: "\u99AC\u5FB7\u91CC", nameEn: "Madrid", timezoneId: "Europe/Madrid", longitude: -3.7, latitude: 40.4, region: "europe" }, - { name: "\u7F85\u99AC", nameEn: "Rome", timezoneId: "Europe/Rome", longitude: 12.5, latitude: 41.9, region: "europe" }, - { name: "\u7DAD\u4E5F\u7D0D", nameEn: "Vienna", timezoneId: "Europe/Vienna", longitude: 16.4, latitude: 48.2, region: "europe" }, - { name: "\u5E03\u62C9\u683C", nameEn: "Prague", timezoneId: "Europe/Prague", longitude: 14.4, latitude: 50.1, region: "europe" }, - { name: "\u83EF\u6C99", nameEn: "Warsaw", timezoneId: "Europe/Warsaw", longitude: 21, latitude: 52.2, region: "europe" }, - { name: "\u5E03\u9054\u4F69\u65AF", nameEn: "Budapest", timezoneId: "Europe/Budapest", longitude: 19, latitude: 47.5, region: "europe" }, - { name: "\u8607\u9ECE\u4E16", nameEn: "Zurich", timezoneId: "Europe/Zurich", longitude: 8.5, latitude: 47.4, region: "europe" }, - { name: "\u5E03\u9B6F\u585E\u723E", nameEn: "Brussels", timezoneId: "Europe/Brussels", longitude: 4.4, latitude: 50.8, region: "europe" }, - { name: "\u65AF\u5FB7\u54E5\u723E\u6469", nameEn: "Stockholm", timezoneId: "Europe/Stockholm", longitude: 18.1, latitude: 59.3, region: "europe" }, - { name: "\u54E5\u672C\u54C8\u6839", nameEn: "Copenhagen", timezoneId: "Europe/Copenhagen", longitude: 12.6, latitude: 55.7, region: "europe" }, - { name: "\u8D6B\u723E\u8F9B\u57FA", nameEn: "Helsinki", timezoneId: "Europe/Helsinki", longitude: 24.9, latitude: 60.2, region: "europe" }, - { name: "\u96C5\u5178", nameEn: "Athens", timezoneId: "Europe/Athens", longitude: 23.7, latitude: 38, region: "europe" }, - { name: "\u83AB\u65AF\u79D1", nameEn: "Moscow", timezoneId: "Europe/Moscow", longitude: 37.6, latitude: 55.8, region: "europe" }, - { name: "\u8056\u5F7C\u5F97\u5821", nameEn: "Saint Petersburg", timezoneId: "Europe/Moscow", longitude: 30.3, latitude: 59.9, region: "europe" }, - { name: "\u91CC\u65AF\u672C", nameEn: "Lisbon", timezoneId: "Europe/Lisbon", longitude: -9.1, latitude: 38.7, region: "europe" }, - { name: "\u90FD\u67CF\u6797", nameEn: "Dublin", timezoneId: "Europe/Dublin", longitude: -6.3, latitude: 53.3, region: "europe" }, - { name: "\u611B\u4E01\u5821", nameEn: "Edinburgh", timezoneId: "Europe/London", longitude: -3.2, latitude: 55.9, region: "europe" }, - { name: "\u5DF4\u585E\u7F85\u90A3", nameEn: "Barcelona", timezoneId: "Europe/Madrid", longitude: 2.2, latitude: 41.4, region: "europe" }, - { name: "\u7C73\u862D", nameEn: "Milan", timezoneId: "Europe/Rome", longitude: 9.2, latitude: 45.5, region: "europe" }, - { name: "\u6155\u5C3C\u9ED1", nameEn: "Munich", timezoneId: "Europe/Berlin", longitude: 11.6, latitude: 48.1, region: "europe" }, - // ═══ 美洲 (Americas) ══════════════════════════════════════════ - { name: "\u7D10\u7D04", nameEn: "New York", timezoneId: "America/New_York", longitude: -74, latitude: 40.7, region: "americas" }, - { name: "\u6D1B\u6749\u78EF", nameEn: "Los Angeles", timezoneId: "America/Los_Angeles", longitude: -118.2, latitude: 34.1, region: "americas" }, - { name: "\u820A\u91D1\u5C71", nameEn: "San Francisco", timezoneId: "America/Los_Angeles", longitude: -122.4, latitude: 37.8, region: "americas" }, - { name: "\u829D\u52A0\u54E5", nameEn: "Chicago", timezoneId: "America/Chicago", longitude: -87.6, latitude: 41.9, region: "americas" }, - { name: "\u4F11\u65AF\u9813", nameEn: "Houston", timezoneId: "America/Chicago", longitude: -95.4, latitude: 29.8, region: "americas" }, - { name: "\u83EF\u76DB\u9813", nameEn: "Washington DC", timezoneId: "America/New_York", longitude: -77, latitude: 38.9, region: "americas" }, - { name: "\u6CE2\u58EB\u9813", nameEn: "Boston", timezoneId: "America/New_York", longitude: -71.1, latitude: 42.4, region: "americas" }, - { name: "\u897F\u96C5\u5716", nameEn: "Seattle", timezoneId: "America/Los_Angeles", longitude: -122.3, latitude: 47.6, region: "americas" }, - { name: "\u9CF3\u51F0\u57CE", nameEn: "Phoenix", timezoneId: "America/Phoenix", longitude: -112.1, latitude: 33.4, region: "americas" }, - { name: "\u4E39\u4F5B", nameEn: "Denver", timezoneId: "America/Denver", longitude: -105, latitude: 39.7, region: "americas" }, - { name: "\u6A80\u9999\u5C71", nameEn: "Honolulu", timezoneId: "Pacific/Honolulu", longitude: -157.9, latitude: 21.3, region: "americas" }, - { name: "\u591A\u502B\u591A", nameEn: "Toronto", timezoneId: "America/Toronto", longitude: -79.4, latitude: 43.7, region: "americas" }, - { name: "\u6EAB\u54E5\u83EF", nameEn: "Vancouver", timezoneId: "America/Vancouver", longitude: -123.1, latitude: 49.3, region: "americas" }, - { name: "\u8499\u7279\u5229\u723E", nameEn: "Montreal", timezoneId: "America/Toronto", longitude: -73.6, latitude: 45.5, region: "americas" }, - { name: "\u58A8\u897F\u54E5\u57CE", nameEn: "Mexico City", timezoneId: "America/Mexico_City", longitude: -99.1, latitude: 19.4, region: "americas" }, - { name: "\u8056\u4FDD\u7F85", nameEn: "S\xE3o Paulo", timezoneId: "America/Sao_Paulo", longitude: -46.6, latitude: -23.6, region: "americas" }, - { name: "\u5E03\u5B9C\u8AFE\u65AF\u827E\u5229\u65AF", nameEn: "Buenos Aires", timezoneId: "America/Argentina/Buenos_Aires", longitude: -58.4, latitude: -34.6, region: "americas" }, - { name: "\u5229\u99AC", nameEn: "Lima", timezoneId: "America/Lima", longitude: -77, latitude: -12, region: "americas" }, - { name: "\u6CE2\u54E5\u5927", nameEn: "Bogota", timezoneId: "America/Bogota", longitude: -74.1, latitude: 4.7, region: "americas" }, - { name: "\u8056\u5730\u4E9E\u54E5", nameEn: "Santiago", timezoneId: "America/Santiago", longitude: -70.7, latitude: -33.4, region: "americas" }, - // ═══ 大洋洲 (Oceania) ═════════════════════════════════════════ - { name: "\u96EA\u68A8", nameEn: "Sydney", timezoneId: "Australia/Sydney", longitude: 151.2, latitude: -33.9, region: "oceania" }, - { name: "\u58A8\u723E\u672C", nameEn: "Melbourne", timezoneId: "Australia/Melbourne", longitude: 145, latitude: -37.8, region: "oceania" }, - { name: "\u5E03\u91CC\u65AF\u73ED", nameEn: "Brisbane", timezoneId: "Australia/Brisbane", longitude: 153, latitude: -27.5, region: "oceania" }, - { name: "\u67CF\u65AF", nameEn: "Perth", timezoneId: "Australia/Perth", longitude: 115.9, latitude: -31.9, region: "oceania" }, - { name: "\u963F\u5FB7\u840A\u5FB7", nameEn: "Adelaide", timezoneId: "Australia/Adelaide", longitude: 138.6, latitude: -34.9, region: "oceania" }, - { name: "\u5967\u514B\u862D", nameEn: "Auckland", timezoneId: "Pacific/Auckland", longitude: 174.8, latitude: -36.9, region: "oceania" }, - { name: "\u5A01\u9748\u9813", nameEn: "Wellington", timezoneId: "Pacific/Auckland", longitude: 174.8, latitude: -41.3, region: "oceania" }, - // ═══ 非洲 (Africa) ════════════════════════════════════════════ - { name: "\u7D04\u7FF0\u5167\u65AF\u5821", nameEn: "Johannesburg", timezoneId: "Africa/Johannesburg", longitude: 28, latitude: -26.2, region: "africa" }, - { name: "\u5948\u6D1B\u6BD4", nameEn: "Nairobi", timezoneId: "Africa/Nairobi", longitude: 36.8, latitude: -1.3, region: "africa" }, - { name: "\u62C9\u5404\u65AF", nameEn: "Lagos", timezoneId: "Africa/Lagos", longitude: 3.4, latitude: 6.5, region: "africa" }, - { name: "\u5361\u85A9\u5E03\u862D\u5361", nameEn: "Casablanca", timezoneId: "Africa/Casablanca", longitude: -7.6, latitude: 33.6, region: "africa" }, - { name: "\u958B\u666E\u6566", nameEn: "Cape Town", timezoneId: "Africa/Johannesburg", longitude: 18.4, latitude: -33.9, region: "africa" } -]; -function searchCities(query) { - if (!query.trim()) return CITIES; - const q = query.toLowerCase().trim(); - return CITIES.filter( - (c) => c.name.includes(q) || c.nameEn.toLowerCase().includes(q) - ); -} -function getCitiesByRegion() { - const map = /* @__PURE__ */ new Map(); - for (const city of CITIES) { - const list = map.get(city.region) ?? []; - list.push(city); - map.set(city.region, list); - } - return map; -} -function findNearestCity(longitude, latitude) { - let best; - let bestDist = Infinity; - for (const c of CITIES) { - const dlng = c.longitude - longitude; - const dlat = c.latitude - latitude; - const dist = dlng * dlng + dlat * dlat; - if (dist < bestDist) { - bestDist = dist; - best = c; - } - } - return best; -} - -// src/planets/geocentric.ts -function sphericalToRectangular(pos) { - const cosB = Math.cos(pos.B); - return [ - pos.R * cosB * Math.cos(pos.L), - pos.R * cosB * Math.sin(pos.L), - pos.R * Math.sin(pos.B) - ]; -} -function helioToGeo(planet, earth) { - const [Xp, Yp, Zp] = sphericalToRectangular(planet); - const [Xe, Ye, Ze] = sphericalToRectangular(earth); - const dX = Xp - Xe; - const dY = Yp - Ye; - const dZ = Zp - Ze; - const distance = Math.sqrt(dX * dX + dY * dY + dZ * dZ); - const longitude = Math.atan2(dY, dX); - const latitude = Math.atan2(dZ, Math.sqrt(dX * dX + dY * dY)); - return { - longitude: (longitude % (2 * Math.PI) + 2 * Math.PI) % (2 * Math.PI), - latitude, - distance - }; -} -function lightTimeCorrected(getPlanetHelio, earth, tau, maxIter = 3) { - let geo = helioToGeo(getPlanetHelio(tau), earth); - let lightDays = geo.distance / C_AU_PER_DAY; - for (let i = 0; i < maxIter; i++) { - const tauCorrected = tau - lightDays / 365250; - const planetRetarded = getPlanetHelio(tauCorrected); - geo = helioToGeo(planetRetarded, earth); - const newLightDays = geo.distance / C_AU_PER_DAY; - if (Math.abs(newLightDays - lightDays) < 1e-10) break; - lightDays = newLightDays; - } - return geo; -} - -// src/planets/de441-corrections.ts -var CORRECTIONS = { - mercury: { c0: 1.032914, c2: -310.833825, c4: 3971.392489, c6: -25283.573354 }, - venus: { c0: 3.203028, c2: -303.293119, c4: 3667.723344, c6: -22382.025131 }, - mars: { c0: 13.321594, c2: -140.615778, c4: 1341.456827, c6: -6086.155884 }, - jupiter: { c0: 18.378314, c2: -60.793482, c4: 1979.551217, c6: -14381.360642 }, - saturn: { c0: 19.178414, c2: -4.642329, c4: -17.796777, c6: 513.439309 }, - uranus: { c0: 19.959854, c2: 4.641783, c4: -892.17913, c6: 8522.016636 }, - neptune: { c0: 19.087166, c2: 15.817694, c4: -452.117173, c6: 3441.54571 } -}; -function getDE441Correction(planet, tau) { - const c = CORRECTIONS[planet]; - if (!c) return 0; - const tau2 = tau * tau; - return c.c0 + c.c2 * tau2 + c.c4 * tau2 * tau2 + c.c6 * tau2 * tau2 * tau2; -} - -// src/planets/vsop87d-mercury.ts -var MERCURY_L = [ - [ - [4.40250710144, 0, 0], - [0.40989414976, 1.48302034194, 26087.9031415742], - [0.05046294199, 4.4778548954, 52175.8062831484], - [0.00855346843, 1.16520322351, 78263.70942472259], - [0.00165590362, 4.11969163181, 104351.61256629678], - [34561897e-11, 0.77930765817, 130439.51570787099], - [7583476e-11, 3.7134840051, 156527.41884944518], - [355974e-10, 1.51202669419, 1109.3785520934], - [1726012e-11, 0.35832239908, 182615.3219910194], - [1803463e-11, 4.1033317841, 5661.3320491522], - [1364682e-11, 4.59918318745, 27197.2816936676], - [1589923e-11, 2.99510417815, 25028.521211385], - [1017332e-11, 0.8803143904, 31749.2351907264], - [714182e-11, 1.54144865265, 24978.5245894808], - [643759e-11, 5.30266110787, 21535.9496445154], - [4042e-9, 3.28228847025, 208703.2251325936], - [352441e-11, 5.24156297101, 20426.571092422], - [343313e-11, 5.76531885335, 955.5997416086], - [339214e-11, 5.86327765, 25558.2121764796], - [451137e-11, 6.04989275289, 51116.4243529592], - [325335e-11, 1.3367433478, 53285.1848352418], - [259587e-11, 0.98732428184, 4551.9534970588], - [345212e-11, 2.79211901539, 15874.6175953632], - [272947e-11, 2.49451163975, 529.6909650946], - [23483e-10, 0.266721189, 11322.6640983044], - [238793e-11, 0.11343953378, 1059.3819301892], - [264336e-11, 3.91705094013, 57837.1383323006], - [216645e-11, 0.65987207348, 13521.7514415914], - [183359e-11, 2.62878670784, 27043.5028831828], - [175965e-11, 4.53636829858, 51066.427731055], - [181629e-11, 2.43413502466, 25661.3049506982], - [208995e-11, 2.09178234008, 47623.8527860896], - [172643e-11, 2.45200164173, 24498.8302462904], - [142316e-11, 3.36003948842, 37410.5672398786], - [137942e-11, 0.29098447849, 10213.285546211], - [118233e-11, 2.78149786369, 77204.32749453338], - [9686e-10, 6.2039820274, 234791.12827416777], - [125219e-11, 3.72079804425, 39609.6545831656], - [86819e-11, 2.64219349385, 51646.11531805379], - [86723e-11, 1.9595304265, 46514.4742339962], - [88329e-11, 5.41338795963, 26617.5941066688], - [106422e-11, 4.20572116254, 19804.8272915828], - [89987e-11, 5.85243631094, 41962.5207369374], - [84971e-11, 4.33100364958, 79373.087976816], - [69247e-11, 4.19446437496, 19.66976089979], - [63463e-11, 3.14700877722, 7238.6755916], - [68493e-11, 0.63424819267, 83925.0414738748], - [69729e-11, 3.57201709671, 25132.3033999656], - [59481e-11, 2.74692752, 16983.9961474566], - [6483e-10, 0.0476292581, 33326.5787331742], - [55376e-11, 4.05312663019, 30639.856638633], - [54442e-11, 3.14331542453, 27147.28507176339], - [4756e-10, 5.49722099211, 3.881335358], - [49567e-11, 3.98985863874, 6770.7106012456], - [56531e-11, 5.11920557675, 73711.75592766379], - [41764e-11, 5.64185159566, 53131.406024757], - [51458e-11, 5.47786463494, 50586.73338786459], - [44744e-11, 1.22366857463, 77154.33087262919], - [41882e-11, 5.19309298528, 6283.0758499914], - [38045e-11, 2.43117327523, 12566.1516999828], - [35627e-11, 0.81390126585, 32858.61374281979], - [48007e-11, 5.49260554912, 51749.20809227239], - [35392e-11, 3.36964859355, 36301.18868778519], - [33951e-11, 2.78618091049, 14765.2390432698], - [3056e-10, 5.84045074182, 43071.8992890308], - [35964e-11, 1.4238083863, 2218.7571041868], - [34044e-11, 0.47470299167, 65697.55772473979], - [308e-9, 5.77017310191, 103292.23063610759], - [28496e-11, 0.65048992658, 426.598190876], - [26215e-11, 5.24158618719, 22645.32819660879], - [26253e-11, 0.64807043102, 1589.0728952838], - [29538e-11, 0.69771244088, 213.299095438], - [27504e-11, 0.98010127839, 45892.73043315699], - [22347e-11, 5.65335125838, 77734.01845962799], - [22047e-11, 4.93398225193, 72602.37737557039], - [22275e-11, 2.17909842576, 52705.49724824299], - [24252e-11, 4.39994170609, 7.1135470008], - [26751e-11, 1.06145361792, 3442.5749449654], - [23656e-11, 2.84168536986, 260879.03141574195], - [22908e-11, 2.58462026514, 68050.42387851159], - [27086e-11, 0.08501738669, 63498.47038145279], - [22247e-11, 3.22418265191, 25448.00585526019], - [17803e-11, 3.61202297483, 110012.94461544899], - [22407e-11, 1.02520094825, 105460.99111839019], - [17576e-11, 4.71742326981, 25874.6040461362], - [18586e-11, 4.52709871258, 28306.66024576099], - [14176e-11, 6.12394176563, 53235.18821333759], - [14186e-11, 5.14246797066, 26068.2333806744], - [17244e-11, 0.28394746813, 51220.20654153979], - [17176e-11, 3.26084092971, 153.7788104848], - [14938e-11, 1.83542009339, 99799.65906923798], - [13387e-11, 0.76564655407, 56727.7597802072], - [13978e-11, 2.30193139916, 76674.63652943878], - [14428e-11, 0.96646356501, 26107.57290247399], - [1199e-10, 6.20492907598, 18849.2275499742], - [14381e-11, 1.90956715654, 23969.1392811958], - [11233e-11, 2.04817126136, 32370.9789915656], - [13392e-11, 4.51750784605, 26080.78959457339], - [11632e-11, 2.3849686026, 79219.3091663312], - [12412e-11, 2.22280944169, 77837.11123384659], - [995e-10, 2.0459444888, 48733.23133818299], - [9803e-11, 2.26706433546, 26091.7844769322], - [9362e-11, 5.44291958209, 38654.05484155699], - [9747e-11, 3.83976857418, 26084.0218062162], - [9264e-11, 4.02987000812, 467.9649903544], - [8961e-11, 0.11062526114, 62389.09182935939], - [11543e-11, 4.17789167759, 103242.2340142034], - [11146e-11, 3.78292300417, 26301.2022370122], - [9677e-11, 2.98527809776, 59414.4818747484], - [8977e-11, 3.47888073089, 91785.46086631398], - [9664e-11, 5.77941968495, 25938.3399444396], - [8855e-11, 2.84672636028, 25035.6347583858], - [8181e-11, 5.77857196635, 40853.142184844], - [8033e-11, 2.45692824195, 129380.13377768178], - [8343e-11, 5.34499871294, 19317.1925403286], - [7425e-11, 4.7116033039, 6.62855890001], - [9001e-11, 6.23396256413, 25021.4076643842], - [8126e-11, 1.12294634635, 26095.016688575], - [6568e-11, 3.66248946629, 26514.5013324502], - [7038e-11, 3.99035923761, 71980.63357473118], - [6956e-11, 1.62821260299, 23869.1460373874], - [7595e-11, 0.18334396433, 12432.0426503978], - [6061e-11, 3.67044794062, 27676.976036858], - [5896e-11, 5.57171141866, 94138.32702008578], - [5716e-11, 5.18204203484, 78793.40038981718], - [5855e-11, 2.14311779301, 20760.4270331914], - [5681e-11, 1.60727624525, 98690.28051714458], - [5788e-11, 2.3546749239, 103821.92160120218], - [5121e-11, 3.77832929907, 58946.51688439399], - [5873e-11, 5.76210244486, 286966.9345573162], - [5858e-11, 6.12538452806, 26011.6370702986], - [5215e-11, 3.29186833997, 38519.945791972], - [6e-8, 57044073e-11, 51535.90899683439], - [4647e-11, 0.29020584575, 136100.84775702318], - [5787e-11, 4.44783057272, 19406.6782881746], - [5908e-11, 4.12195491631, 29530.4780865396], - [5918e-11, 3.98930701135, 131548.89425996438], - [5728e-11, 3.02314979708, 89586.37352302698], - [3928e-11, 4.8143793369, 125887.56221081219], - [3929e-11, 2.48449041501, 69159.80243060499], - [3681e-11, 2.80180999964, 79323.09135491178], - 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[15e-11, 5.81110284451, 43071.8992890308], - [15e-11, 4.96237667003, 19999.97290154599], - [18e-11, 0.55618686515, 14765.2390432698], - [14e-11, 3.48144272414, 29786.660256881], - [15e-11, 5.84132627836, 10228.538017396], - [16e-11, 1.05720065324, 26735.9452622132], - [14e-11, 6.08462030302, 35371.8872659764], - [14e-11, 2.8453287189, 574.3447983348], - [15e-11, 5.3451771514, 10198.033075026], - [13e-11, 0.45004137509, 20452.8694122218] - ], - [ - [1406587e-11, 5.0636639519, 10213.285546211], - [15529e-11, 5.47321687981, 20426.571092422], - [13059e-11, 0, 0], - [1099e-11, 2.78883988292, 9437.762934887], - [488e-11, 6.27806914496, 1577.3435424478], - [361e-11, 6.11914188253, 10404.7338123226], - [31e-10, 1.38984998403, 5507.5532386674], - [389e-11, 1.95017779915, 11015.1064773348], - [372e-11, 2.33222828423, 775.522611324], - [207e-11, 5.63406721595, 10239.5838660108], - [168e-11, 1.10765197296, 13367.9726311066], - [175e-11, 6.1667465295, 30639.856638633], - [168e-11, 3.64495311632, 7084.8967811152], - [12e-10, 5.85815843789, 9153.9036160218], - [16e-10, 2.21564938463, 3154.6870848956], - [118e-11, 2.62358866565, 8635.9420037632], - [112e-11, 2.36235956804, 10596.1820784342], - [92e-11, 0.72664449269, 12566.1516999828], - [67e-11, 3.76089669118, 18837.49819713819], - [65e-11, 2.4798370999, 11790.6290886588], - [48e-11, 4.26620187144, 2352.8661537718], - [48e-11, 5.5089818955, 191.4482661116], - [48e-11, 2.54730918293, 17298.1823273262], - [46e-11, 3.40293459332, 14143.4952424306], - [41e-11, 1.83997113019, 11322.6640983044], - [37e-11, 6.17871126027, 1109.3785520934], - [39e-11, 4.77190210316, 18073.7049386502], - [35e-11, 3.10133256432, 4705.7323075436], - [46e-11, 3.30090415967, 6283.0758499914], - [34e-11, 3.91721765773, 10021.8372800994], - [34e-11, 3.24663787383, 22003.9146348698], - [42e-11, 3.39360926939, 14945.3161735544], - [44e-11, 4.42979374073, 7860.4193924392], - [34e-11, 2.16381407025, 16496.3613962024], - [31e-11, 0.45714618479, 26.2983197998], - [35e-11, 3.62868651241, 801.8209311238], - [32e-11, 1.84138997078, 382.8965322232], - [25e-11, 3.32908650295, 18307.8072320436], - [26e-11, 3.64313769818, 29088.811415985], - [29e-11, 3.8296717881, 10186.9872264112], - [22e-11, 3.17741520378, 28521.0927782546], - [21e-11, 2.52643834111, 529.6909650946], - [25e-11, 5.71401244457, 21202.093703746], - [21e-11, 3.77813434325, 21228.3920235458], - [19e-11, 5.24505118517, 19896.8801273274], - [18e-11, 4.62463651925, 19651.048481098], - [16e-11, 3.35893297896, 28286.9904848612], - [15e-11, 5.05571633205, 33019.0211122046], - [14e-11, 2.83786355803, 19786.67380610799], - [14e-11, 1.79922718553, 9830.3890139878], - [14e-11, 3.14801263138, 19367.1891622328], - [14e-11, 3.57896195191, 10988.808157535], - [13e-11, 3.06303088617, 10742.9765113056], - [13e-11, 5.43981998532, 25158.6017197654], - [15e-11, 4.83166312889, 18875.525869774], - [12e-11, 2.54141086214, 7064.1213856228], - [12e-11, 4.45255110769, 15720.8387848784], - [1e-10, 1.87933121728, 24356.7807886416], - [11e-11, 2.58708635685, 9103.9069941176], - [1e-10, 2.179013099, 3723.508958923], - [8e-11, 3.63520673832, 1059.3819301892], - [8e-11, 4.67523115598, 25934.1243310894], - [9e-11, 5.97856553283, 9683.5945811164] - ], - [ - [49582e-11, 3.2226355452, 10213.285546211], - [831e-11, 3.21219077104, 20426.571092422], - [112e-11, 3.14159265359, 0], - [13e-11, 3.77448689585, 30639.856638633], - [9e-11, 4.19802043629, 10239.5838660108], - [6e-11, 0.20714935358, 10186.9872264112], - [5e-11, 0.68781956122, 8635.9420037632] - ], - [ - [573e-11, 0.9222969782, 10213.285546211], - [4e-10, 0.95468912157, 20426.571092422], - [6e-11, 3.14159265359, 0] - ], - [ - [45e-11, 0.30032866722, 10213.285546211], - [2e-11, 5.29627718483, 20426.571092422] - ] -]; - -// src/planets/vsop87d-mars.ts -var MARS_L = [ - [ - [6.20347711583, 0, 0], - [0.186563681, 5.05037100303, 3340.6124266998], - [0.01108216792, 5.40099836958, 6681.2248533996], - [91798394e-11, 5.75478745111, 10021.8372800994], - [27744987e-11, 5.97049512942, 3.523118349], - [1061023e-10, 2.93958524973, 2281.2304965106], - [12315897e-11, 0.84956081238, 2810.9214616052], - [8926772e-11, 4.15697845939, 0.0172536522], - [8715688e-11, 6.11005159792, 13362.4497067992], - [6797552e-11, 0.36462243626, 398.1490034082], - [7774867e-11, 3.33968655074, 5621.8429232104], - [3575079e-11, 1.66186540141, 2544.3144198834], - [4161101e-11, 0.2281497533, 2942.4634232916], - [307525e-10, 0.85696597082, 191.4482661116], - [2628122e-11, 0.6480614357, 3337.0893083508], - [2937543e-11, 6.07893711408, 0.0673103028], - [238942e-10, 5.03896401349, 796.2980068164], - [2579842e-11, 0.02996706197, 3344.1355450488], - [152814e-10, 1.14979306228, 6151.533888305], - [1798808e-11, 0.65634026844, 529.6909650946], - [1264356e-11, 3.62275092231, 5092.1519581158], - [1286232e-11, 3.06795924626, 2146.1654164752], - [1546408e-11, 2.91579633392, 1751.539531416], - [1024907e-11, 3.69334293555, 8962.4553499102], - [891567e-11, 0.1829389909, 16703.062133499], - [85876e-10, 2.40093704204, 2914.0142358238], - [832718e-11, 2.46418591282, 3340.5951730476], - 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[84187e-11, 3.9897072073, 4399.994356889], - [86931e-11, 2.20186740523, 11243.6858464208], - [71437e-11, 2.80307550016, 3185.1920272656], - [72091e-11, 5.84672102525, 5884.9268465832], - [73476e-11, 2.18428012567, 8429.2412664666], - [98946e-11, 2.81481140371, 6681.2075997474], - [68414e-11, 2.73834914412, 2288.3440435114], - [86751e-11, 1.02092221563, 7079.3738568078], - [6532e-10, 2.68118597578, 28.4491874678], - [83749e-11, 3.2025613099, 4690.4798363586], - [75034e-11, 0.76643418252, 6467.9257579616], - [68984e-11, 3.76399731788, 6041.3275670856], - [66706e-11, 0.73630620766, 3723.508958923], - [63314e-11, 4.5277147047, 426.598190876], - [61683e-11, 6.16831509419, 2274.1169495098], - [52256e-11, 0.89941531307, 9623.6882766912], - [55488e-11, 4.6062546702, 4292.3308329504], - [51332e-11, 4.14823636534, 3341.592747768], - [56629e-11, 5.06250410206, 15.252471185], - [63376e-11, 0.91296240798, 3553.9115221378], - [45829e-11, 0.78784235062, 1990.745017041], - [48542e-11, 3.95670418719, 4535.0594369244], - 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[27584e-11, 1.59691203058, 7210.9158184942], - [28686e-11, 5.72055456734, 7477.522860216], - [34031e-11, 2.59544082509, 11769.8536931664], - [2538e-10, 0.52093116112, 10.6366653498], - [26357e-11, 1.34532646574, 3496.032826134], - [24554e-11, 4.00323183088, 11371.7046897582], - [25637e-11, 0.2496352342, 522.5774180938], - [27278e-11, 4.55645328122, 3361.3878221922], - [23764e-11, 1.84058377256, 12832.7587417046], - [22816e-11, 3.52628212106, 1648.4467571974], - [22274e-11, 0.72106133721, 266.6070417218], - [21202e-11, 3.11824472284, 2957.7158944766], - [20158e-11, 3.67131504946, 1758.6530784168], - [2153e-10, 6.15388757177, 3264.3463554242], - [20093e-11, 1.08247416065, 7064.1213856228], - [21343e-11, 4.28218757863, 4032.7700279266], - [2754e-10, 6.08389942337, 6674.1113063988], - [19849e-11, 2.37668920745, 10713.9948813262], - [25512e-11, 3.43242352804, 3443.7052009184], - [22542e-11, 5.64861703438, 2388.8940204492], - [24378e-11, 0.96994696413, 632.7837393132], - [23079e-11, 4.74990214223, 3347.7259737006], - [17709e-11, 3.69742343974, 3344.2028553516], - [22662e-11, 3.95446324417, 4989.0591838972], - [22604e-11, 5.24082917494, 3205.5473466644], - [16811e-11, 5.48619684111, 3.881335358], - [18422e-11, 4.22535881468, 2787.0430238574], - [22737e-11, 4.98520896596, 7632.9432596502], - [16648e-11, 2.52823633184, 14584.2982731206], - [20963e-11, 4.27878216453, 5099.2655051166], - [16042e-11, 1.76786752521, 3475.6775067352], - [15816e-11, 3.13240869691, 59.3738619136], - [18113e-11, 3.25756020453, 3337.021998048], - [19295e-11, 3.23911854642, 7.046236698], - [16772e-11, 4.3973150711, 15643.6802033098], - [17555e-11, 4.09197396097, 74.7815985673], - [13704e-11, 2.5411701816, 4933.2084403326], - [16011e-11, 1.54669633224, 14054.607308026], - [13547e-11, 4.04152185347, 4929.6853219836], - [14566e-11, 3.45210993051, 7373.3824546264], - [13926e-11, 5.40797129468, 10973.55568635], - [14246e-11, 0.59808746067, 23.8784377478], - [14023e-11, 1.44218648988, 10404.7338123226], - [16051e-11, 3.79409950488, 2118.7638603784], - 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[13e-11, 4.51988349676, 6489.776587288], - [14e-11, 0.76591550754, 3894.1818295422], - [11e-11, 5.47381242145, 3738.761430108] - ], - [ - [476e-11, 2.47617204701, 6681.2248533996], - [268e-11, 2.91510547706, 10021.8372800994], - [115e-11, 1.76888962311, 3340.6124266998], - [96e-11, 3.31378377179, 13362.4497067992], - [48e-11, 6.27457828287, 3185.1920272656], - [27e-11, 3.69380877066, 16703.062133499], - [13e-11, 3.72005807206, 3496.032826134], - [12e-11, 4.88179002689, 3583.3410306738], - [12e-11, 3.14159265359, 0] - ] -]; - -// src/planets/vsop87d-jupiter.ts -var JUPITER_L = [ - [ - [0.59954691495, 0, 0], - [0.09695898711, 5.06191793105, 529.6909650946], - [0.00573610145, 1.44406205976, 7.1135470008], - [0.0030638918, 5.41734729976, 1059.3819301892], - [9717828e-10, 4.14264708819, 632.7837393132], - [72903096e-11, 3.64042909255, 522.5774180938], - [64263986e-11, 3.41145185203, 103.0927742186], - [39806051e-11, 2.29376744855, 419.4846438752], - [3885778e-10, 1.2723172486, 316.3918696566], - 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[483e-11, 3.03782387056, 3281.2385647862], - [476e-11, 2.17592053936, 149.5631971346], - [51e-10, 5.35664230912, 9.5612275556], - [49e-10, 1.57324553106, 1251.3403846248], - [467e-11, 5.9234342384, 203.0041546995], - [528e-11, 5.81786945766, 2627.1141844706], - [447e-11, 3.51498961805, 18.1592472647], - [429e-11, 0.16627197188, 74.7815985673], - [497e-11, 0.30985248432, 2428.0421830342], - [516e-11, 3.89424540015, 2516.9078632512], - [519e-11, 2.43126348834, 3686.4961146598], - [404e-11, 2.77840802846, 7.1617311106], - [533e-11, 4.77083438961, 3473.1970192218], - [515e-11, 3.54549816613, 3178.1457905676], - [533e-11, 5.61415688189, 2524.021410252], - [458e-11, 4.91616403047, 3067.9394693482], - [4e-9, 3.13887720912, 540.7366653585], - [378e-11, 0.8612245094, 525.0250986486] - ], - [ - [3519257e-11, 6.05800633846, 529.6909650946], - [1073239e-11, 1.6732134576, 536.8045120954], - [915666e-11, 1.41329676116, 522.5774180938], - [341593e-11, 0.52296542656, 1059.3819301892], - [254893e-11, 1.19625473533, 7.1135470008], - 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[506e-11, 0.18719982992, 10.2949407385] - ], - [ - [128628e-11, 0.08419309557, 536.8045120954], - [113458e-11, 4.24858855779, 529.6909650946], - [8265e-10, 3.29754909408, 522.5774180938], - [37883e-11, 2.73326611144, 515.463871093], - [26694e-11, 5.69142588558, 7.1135470008], - [1765e-10, 5.40012536918, 1059.3819301892], - [12612e-11, 6.01560416057, 543.9180590962], - [9287e-11, 0.76813946494, 1066.49547719], - [8107e-11, 5.68228065707, 14.2270940016], - [6271e-11, 5.12286932534, 639.897286314], - [6978e-11, 1.42751292055, 412.3710968744], - [5377e-11, 3.33501947275, 625.6701923124], - [2911e-11, 3.40334805052, 1052.2683831884], - [2593e-11, 4.16090412984, 728.762966531], - [2562e-11, 2.89802035072, 426.598190876], - [2268e-11, 6.22195938856, 1589.0728952838], - [2114e-11, 3.11758855774, 1045.1548361876], - [1673e-11, 2.81399290364, 206.1855484372], - [1805e-11, 2.60030006919, 199.0720014364], - [1823e-11, 1.89432426038, 419.4846438752], - [1522e-11, 1.33432648232, 1596.1864422846], - 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[521e-11, 0.24011424451, 433.7117378768] - ], - [ - [11188e-11, 4.75249399945, 536.8045120954], - [4255e-11, 5.9151622917, 522.5774180938], - [2079e-11, 5.56781555864, 515.463871093], - [1908e-11, 4.29659647286, 543.9180590962], - [1875e-11, 3.69357495838, 7.1135470008], - [159e-10, 5.49312796166, 1066.49547719], - [1612e-11, 4.13222808529, 1059.3819301892], - [124e-10, 3.77981722506, 14.2270940016], - [1033e-11, 4.50671820436, 529.6909650946] - ] -]; - -// src/planets/vsop87d-saturn.ts -var SATURN_L = [ - [ - [0.87401354029, 0, 0], - [0.1110765978, 3.96205090194, 213.299095438], - [0.01414150958, 4.58581515873, 7.1135470008], - [0.00398379386, 0.52112025957, 206.1855484372], - [0.00350769223, 3.30329903015, 426.598190876], - [0.00206816296, 0.24658366938, 103.0927742186], - [79271288e-11, 3.8400707853, 220.4126424388], - [23990338e-11, 4.6697693486, 110.2063212194], - [16573583e-11, 0.43719123541, 419.4846438752], - [14906995e-11, 5.76903283845, 316.3918696566], - [158203e-9, 0.9380895376, 632.7837393132], - 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[2254e-11, 5.77129530133, 84.3428261229], - [2291e-11, 4.814246016, 536.8045120954], - [2213e-11, 2.20360299816, 465.9550667912] - ], - [ - [52996e-11, 3.00838033088, 74.7815985673], - [9887e-11, 1.91399083603, 56.6223513026], - [7008e-11, 5.08677527404, 11.0457002639], - [6728e-11, 5.42924958121, 149.5631971346], - [3703e-11, 5.22728581851, 131.4039498699], - [3361e-11, 1.29695290266, 85.8272988312], - [2664e-11, 0.44064577837, 63.7358983034], - [2309e-11, 0.92380720934, 145.6310438715], - [2383e-11, 6.21390585593, 358.9301393095], - [2288e-11, 2.23425399117, 440.6822725257], - [3093e-11, 3.14159265359, 0] - ] -]; - -// src/planets/vsop87d-neptune.ts -var NEPTUNE_L = [ - [ - [5.31188633047, 0, 0], - [0.01798475509, 2.9010127305, 38.1330356378], - [0.01019727662, 0.4858092366, 1.4844727083], - [0.00124531845, 4.83008090682, 36.6485629295], - [4206445e-10, 5.41054991607, 2.9689454166], - [37714589e-11, 6.09221834946, 35.1640902212], - [33784734e-11, 1.24488865578, 76.2660712756], - [16482741e-11, 7729261e-11, 491.5579294568], - 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[3154e-11, 3.88192942366, 505.7850234584], - [3016e-11, 1.03609346831, 189.3931538018], - [2294e-11, 1.10879658603, 182.279606801], - [2295e-11, 5.67776133184, 168.0525127994] - ] -]; - -// src/planets/pluto.ts -var DEG_TO_RAD2 = Math.PI / 180; -var PLUTO_TERMS = [ - [0, 0, 1, -19799805, 19850055, -5452852, -14974862, 66865439, 68951812], - [0, 0, 2, 897144, -4954829, 3527812, 1672790, -11827535, -332538], - [0, 0, 3, 611149, 1211027, -1050748, 327647, 1593179, -1438890], - [0, 0, 4, -341243, -189585, 178690, -292153, -18444, 483220], - [0, 0, 5, 129287, -34992, 18650, 100340, -65977, -85431], - [0, 0, 6, -38164, 30893, -30697, -25823, 31098, 75775], - [0, 1, -1, 20442, -9987, 4878, 11248, -5644, -14780], - [0, 1, 0, -4063, -5071, 226, -64, -4314, -510], - [0, 1, 1, -6016, -3336, 2030, -836, 1278, -3228], - [0, 1, 2, -3956, 3039, 69, -604, 8212, 9030], - [0, 1, 3, -667, 3572, -247, -567, -286, -1450], - [0, 2, -2, 1276, 501, -57, -184, -5645, -34], - [0, 2, -1, 1152, -917, -103, -93, -253, -61], - [0, 2, 0, 630, -1277, -156, -53, -329, -1063], - [1, -1, 0, 2571, -459, -23, -68, 2788, -117], - [1, -1, 1, 899, -1449, -24, -69, -22952, -16707], - [1, 0, -3, -1016, 1043, 21, 94, -4680, 7110], - [1, 0, -2, -2343, -1012, 343, 38, -980, -1844], - [1, 0, -1, 7042, 788, -30, -80, -75159, -53050], - [1, 0, 0, 1199, -338, 15, 14, 35964, 20577], - [1, 0, 1, 418, -67, 10, -16, -10203, -3221], - [1, 0, 2, 120, -274, 11, -25, -1062, -1080], - [1, 0, 3, -60, -159, 16, -2, -2127, -915], - [1, 0, 4, -82, -29, 11, 10, -1267, -519], - [1, 1, -3, -36, -29, -9, -5, 1316, -300], - [1, 1, -2, -40, 7, -9, 25, -649, -195], - [1, 1, -1, -14, 22, -5, 8, -298, -4049], - [1, 1, 0, 4, 13, 12, -4, -198, -2020], - [1, 1, 1, 5, 2, -2, 7, -271, -1208], - [1, 1, 3, -1, 0, 10, 5, -178, -249], - [2, 0, -6, 2, 0, -27, -1, 60, -1092], - [2, 0, -5, -4, 5, -40, -28, 104, -90], - [2, 0, -4, 4, -7, 25, -192, 124, -233], - [2, 0, -3, 14, 24, 14, 5, 376, -381], - [2, 0, -2, -49, -34, 94, 97, -124, -10], - [2, 0, -1, 163, -48, -161, 45, 116, -164], - [2, 0, 0, 9, -24, -17, 18, -32, -279], - [2, 0, 1, -4, 1, 14, 6, -49, -36], - [2, 0, 2, -3, 1, -5, -7, -10, -120], - [2, 0, 3, 1, 3, -8, -6, -6, -72], - [3, 0, -2, -3, -1, 0, 1, -10, -30], - [3, 0, -1, 5, -3, 0, 0, -7, -14], - [3, 0, 0, 0, 0, 0, -1, 0, -1] -]; -function getPlutoHelio(tau) { - const T = tau * 10; - const J = 34.35 + 3034.9057 * T; - const S = 50.08 + 1222.1138 * T; - const P2 = 238.96 + 144.96 * T; - let sumLon = 0; - let sumLat = 0; - let sumRad = 0; - for (const t of PLUTO_TERMS) { - const alpha2 = (t[0] * J + t[1] * S + t[2] * P2) * DEG_TO_RAD2; - const sinA = Math.sin(alpha2); - const cosA = Math.cos(alpha2); - sumLon += t[3] * sinA + t[4] * cosA; - sumLat += t[5] * sinA + t[6] * cosA; - sumRad += t[7] * sinA + t[8] * cosA; - } - const L = (238.958116 + 144.96 * T + sumLon / 1e6) * DEG_TO_RAD2; - const B = (-3.908239 + sumLat / 1e6) * DEG_TO_RAD2; - const R = 40.7241346 + sumRad / 1e7; - return { L, B, R }; -} - -// src/planets/planets.ts -var PLANET_COEFFS = { - mercury: { L: MERCURY_L, B: MERCURY_B, R: MERCURY_R }, - venus: { L: VENUS_L, B: VENUS_B, R: VENUS_R }, - mars: { L: MARS_L, B: MARS_B, R: MARS_R }, - jupiter: { L: JUPITER_L, B: JUPITER_B, R: JUPITER_R }, - saturn: { L: SATURN_L, B: SATURN_B, R: SATURN_R }, - uranus: { L: URANUS_L, B: URANUS_B, R: URANUS_R }, - neptune: { L: NEPTUNE_L, B: NEPTUNE_B, R: NEPTUNE_R } -}; -function getHelioPosition(planet, tau) { - const c = PLANET_COEFFS[planet]; - return { - L: evaluateVsopSeries(c.L, tau), - B: evaluateVsopSeries(c.B, tau), - R: evaluateVsopSeries(c.R, tau) - }; -} -function getEarthHelio(tau) { - return { - L: evaluateVsopSeries(EARTH_L, tau), - B: evaluateVsopSeries(EARTH_B, tau), - R: evaluateVsopSeries(EARTH_R, tau) - }; -} -function getPlanetPosition(planet, date) { - const tau = dateToJulianMillennia(date); - const T = dateToJulianCenturies(date); - const earth = getEarthHelio(tau); - const geo = lightTimeCorrected( - planet === "pluto" ? (t) => getPlutoHelio(t) : (t) => getHelioPosition(planet, t), - earth, - tau - ); - const earthR = earth.R; - let lon = geo.longitude + -20.4898 / earthR * ARCSEC_TO_RAD; - const args = delaunayArgs(T); - const dpsi = nutationDpsi(args.l, args.lp, args.F, args.D, args.Om, T); - lon += dpsi * ARCSEC_TO_RAD; - const correction = getDE441Correction(planet, tau); - lon += correction * ARCSEC_TO_RAD; - lon = normalizeRadians(lon); - const lat = geo.latitude; - const eps = trueObliquity(T); - const [ra, dec] = eclipticToEquatorial(lon, lat, eps); - return { - longitude: normalizeDegrees(lon * RAD_TO_DEG), - latitude: lat * RAD_TO_DEG, - distance: geo.distance, - ra: normalizeDegrees(ra * RAD_TO_DEG), - dec: dec * RAD_TO_DEG - }; -} - -// src/seven-governors/types.ts -var GOVERNORS = ["sun", "moon", "mercury", "venus", "mars", "jupiter", "saturn"]; -var REMAINDERS = ["rahu", "ketu", "yuebei", "purpleQi"]; -var ALL_BODIES = [...GOVERNORS, ...REMAINDERS]; -var PALACE_ROLES = [ - "\u547D\u5BAE", - "\u5144\u5F1F\u5BAE", - "\u59BB\u59BE\u5BAE", - "\u7537\u5973\u5BAE", - "\u8CA1\u5E1B\u5BAE", - "\u75BE\u5384\u5BAE", - "\u9077\u79FB\u5BAE", - "\u5974\u50D5\u5BAE", - "\u5B98\u797F\u5BAE", - "\u7530\u5B85\u5BAE", - "\u798F\u5FB7\u5BAE", - "\u76F8\u8C8C\u5BAE" -]; - -// src/seven-governors/sidereal.ts -var SPICA_J2000_LON = 201.2983; -var CLASSICAL_EPOCHS = { - kaiyuan: 724, - chongzhen: 1628 -}; -function normDeg(deg) { - return (deg % 360 + 360) % 360; -} -function modernAyanamsa(T) { - const precessionDeg = precessionInLongitude(T) / 3600; - return SPICA_J2000_LON + precessionDeg; -} -function classicalAyanamsa(epochYear) { - const T = (epochYear - 2e3) / 100; - return modernAyanamsa(T); -} -function toSiderealLongitude(tropicalLon, date, mode = { type: "modern" }) { - let ayanamsa; - switch (mode.type) { - case "modern": { - const T = dateToJulianCenturies(date); - ayanamsa = modernAyanamsa(T); - break; - } - case "classical": { - const epochYear = typeof mode.epoch === "number" ? mode.epoch : CLASSICAL_EPOCHS[mode.epoch]; - ayanamsa = classicalAyanamsa(epochYear); - break; - } - case "ayanamsa": { - ayanamsa = mode.value; - break; - } - } - return normDeg(tropicalLon - ayanamsa); -} - -// src/seven-governors/data/mansion-boundaries.ts -var MANSION_BOUNDARIES = [ - { name: "\u89D2", star: "\u03B1 Vir", hip: 65474, startDeg: 0 }, - { name: "\u4EA2", star: "\u03BA Vir", hip: 69427, startDeg: 12 }, - { name: "\u6C10", star: "\u03B1 Lib", hip: 72622, startDeg: 28 }, - { name: "\u623F", star: "\u03C0 Sco", hip: 78265, startDeg: 33 }, - { name: "\u5FC3", star: "\u03C3 Sco", hip: 78820, startDeg: 38 }, - { name: "\u5C3E", star: "\u03BC Sco", hip: 82514, startDeg: 44.5 }, - { name: "\u7B95", star: "\u03B3 Sgr", hip: 89642, startDeg: 62.5 }, - { name: "\u6597", star: "\u03C6 Sgr", hip: 92041, startDeg: 73.5 }, - { name: "\u725B", star: "\u03B2 Cap", hip: 100345, startDeg: 99.5 }, - { name: "\u5973", star: "\u03B5 Aqr", hip: 102618, startDeg: 107 }, - { name: "\u865B", star: "\u03B2 Aqr", hip: 106278, startDeg: 119 }, - { name: "\u5371", star: "\u03B1 Aqr", hip: 109074, startDeg: 129 }, - { name: "\u5BA4", star: "\u03B1 Peg", hip: 113963, startDeg: 145.5 }, - { name: "\u58C1", star: "\u03B3 Peg", hip: 677, startDeg: 161.5 }, - { name: "\u594E", star: "\u03B7 And", hip: 5447, startDeg: 170.5 }, - { name: "\u5A41", star: "\u03B2 Ari", hip: 9132, startDeg: 186.5 }, - { name: "\u80C3", star: "35 Ari", hip: 12390, startDeg: 198.5 }, - { name: "\u6634", star: "17 Tau", hip: 17499, startDeg: 210 }, - { name: "\u7562", star: "\u03B5 Tau", hip: 20889, startDeg: 221 }, - { name: "\u89DC", star: "\u03BB Ori", hip: 26207, startDeg: 237.5 }, - { name: "\u53C3", star: "\u03B4 Ori", hip: 25930, startDeg: 240 }, - { name: "\u4E95", star: "\u03BC Gem", hip: 30343, startDeg: 261 }, - { name: "\u9B3C", star: "\u03B8 Cnc", hip: 41822, startDeg: 294 }, - { name: "\u67F3", star: "\u03B4 Hya", hip: 42313, startDeg: 298 }, - { name: "\u661F", star: "\u03B1 Hya", hip: 46390, startDeg: 313 }, - { name: "\u5F35", star: "\u03C5\xB9 Hya", hip: 48356, startDeg: 320 }, - { name: "\u7FFC", star: "\u03B1 Crt", hip: 53740, startDeg: 332 }, - { name: "\u8EEB", star: "\u03B3 Crv", hip: 59316, startDeg: 350 } -]; - -// src/seven-governors/mansion-mapper.ts -function getMansionForLongitude(siderealLon) { - const lon = (siderealLon % 360 + 360) % 360; - if (lon < MANSION_BOUNDARIES[0].startDeg) { - const last = MANSION_BOUNDARIES.length - 1; - return { - name: MANSION_BOUNDARIES[last].name, - degree: lon + 360 - MANSION_BOUNDARIES[last].startDeg, - index: last - }; - } - let lo = 0; - let hi = MANSION_BOUNDARIES.length - 1; - while (lo < hi) { - const mid = lo + hi + 1 >> 1; - if (MANSION_BOUNDARIES[mid].startDeg <= lon) { - lo = mid; - } else { - hi = mid - 1; - } - } - return { - name: MANSION_BOUNDARIES[lo].name, - degree: lon - MANSION_BOUNDARIES[lo].startDeg, - index: lo - }; -} - -// src/seven-governors/data/palace-boundaries.ts -var PALACE_BOUNDARIES = [ - { name: "\u8FB0\u5BAE", startDeg: 0, endDeg: 30, mansions: ["\u89D2", "\u4EA2"] }, - { name: "\u536F\u5BAE", startDeg: 30, endDeg: 60, mansions: ["\u6C10", "\u623F", "\u5FC3"] }, - { name: "\u5BC5\u5BAE", startDeg: 60, endDeg: 90, mansions: ["\u5C3E", "\u7B95"] }, - { name: "\u4E11\u5BAE", startDeg: 90, endDeg: 120, mansions: ["\u6597", "\u725B"] }, - { name: "\u5B50\u5BAE", startDeg: 120, endDeg: 150, mansions: ["\u5973", "\u865B", "\u5371"] }, - { name: "\u4EA5\u5BAE", startDeg: 150, endDeg: 180, mansions: ["\u5BA4", "\u58C1"] }, - { name: "\u620C\u5BAE", startDeg: 180, endDeg: 210, mansions: ["\u594E", "\u5A41", "\u80C3"] }, - { name: "\u9149\u5BAE", startDeg: 210, endDeg: 240, mansions: ["\u6634", "\u7562"] }, - { name: "\u7533\u5BAE", startDeg: 240, endDeg: 270, mansions: ["\u89DC", "\u53C3"] }, - { name: "\u672A\u5BAE", startDeg: 270, endDeg: 300, mansions: ["\u4E95", "\u9B3C"] }, - { name: "\u5348\u5BAE", startDeg: 300, endDeg: 330, mansions: ["\u67F3", "\u661F", "\u5F35"] }, - { name: "\u5DF3\u5BAE", startDeg: 330, endDeg: 360, mansions: ["\u7FFC", "\u8EEB"] } -]; - -// src/seven-governors/palace-mapper.ts -function getPalaceForLongitude(siderealLon) { - const lon = (siderealLon % 360 + 360) % 360; - const index = Math.min(Math.floor(lon / 30), 11); - const palace = PALACE_BOUNDARIES[index]; - return { - name: palace.name, - degree: lon - palace.startDeg, - index - }; -} - -// src/seven-governors/four-remainders.ts -function normDeg2(deg) { - return (deg % 360 + 360) % 360; -} -function meanAscendingNode(T) { - const T2 = T * T; - const T3 = T2 * T; - const T4 = T3 * T; - return normDeg2( - 125.0445479 - 1934.1362891 * T + 20754e-7 * T2 + T3 / 467441 - T4 / 60616e3 - ); -} -function getRahuPosition(date) { - const T = dateToJulianCenturies(date); - return { longitude: meanAscendingNode(T), latitude: 0 }; -} -function meanPerigee(T) { - const T2 = T * T; - const T3 = T2 * T; - const T4 = T3 * T; - return normDeg2( - 83.3532465 + 4069.0137287 * T - 0.01032 * T2 - T3 / 80053 + T4 / 18999e3 - ); -} -function apogeeCorrection(T) { - const T2 = T * T; - const D = normDeg2(297.8501921 + 445267.1114034 * T - 18819e-7 * T2); - const M = normDeg2(357.5291092 + 35999.0502909 * T - 1536e-7 * T2); - const Mp = normDeg2(134.9633964 + 477198.8675055 * T + 87414e-7 * T2); - const F = normDeg2(93.272095 + 483202.0175233 * T - 36539e-7 * T2); - const toRad = Math.PI / 180; - let correction = 0; - correction += 1.4979 * Math.sin(2 * (D - Mp) * toRad); - correction += 0.15 * Math.sin(M * toRad); - correction += 0.1226 * Math.sin(2 * D * toRad); - correction += 0.104 * Math.sin(2 * Mp * toRad); - correction -= 0.0752 * Math.sin(2 * F * toRad); - return correction; -} -function getKetuPosition(date, mode = "apogee") { - if (mode === "descending-node") { - const rahu = getRahuPosition(date); - return { longitude: normDeg2(rahu.longitude + 180), latitude: 0 }; - } - const T = dateToJulianCenturies(date); - const meanApogee = normDeg2(meanPerigee(T) + 180); - const correction = apogeeCorrection(T); - return { longitude: normDeg2(meanApogee + correction), latitude: 0 }; -} -function getYuebeiPosition(date) { - const T = dateToJulianCenturies(date); - return { longitude: normDeg2(meanPerigee(T) + 180), latitude: 0 }; -} -var PURPLE_QI_EPOCH_JD = 2451545; -var PURPLE_QI_EPOCH_LON = 0; -var PURPLE_QI_DAILY_RATE = 360 / 10195.5; -function getPurpleQiPosition(date) { - const msPerDay = 864e5; - const jd = date.getTime() / msPerDay + 24405875e-1; - const days = jd - PURPLE_QI_EPOCH_JD; - return { longitude: normDeg2(PURPLE_QI_EPOCH_LON + PURPLE_QI_DAILY_RATE * days), latitude: 0 }; -} - -// src/seven-governors/ascendant.ts -function degToRad(d) { - return d * Math.PI / 180; -} -function radToDeg(r) { - return r * 180 / Math.PI; -} -function normDeg3(d) { - return (d % 360 + 360) % 360; -} -function getAscendant(date, location) { - const T = dateToJulianCenturies(date); - const gmst = greenwichMeanSiderealTime(date); - const lst = normDeg3(gmst + location.lon); - const eps = meanObliquity(T); - const lat = degToRad(location.lat); - const lstRad = degToRad(lst); - const ascRad = Math.atan2( - -Math.cos(lstRad), - Math.sin(lstRad) * Math.cos(eps) + Math.tan(lat) * Math.sin(eps) - ); - const ascDeg = normDeg3(radToDeg(ascRad)); - const mansion = getMansionForLongitude(ascDeg); - const palace = getPalaceForLongitude(ascDeg); - return { - siderealLon: ascDeg, - mansion: mansion.name, - palace: palace.name - }; -} - -// src/seven-governors/data/dignity.ts -var P = "\u5E73"; -var DIGNITY_TABLE = { - sun: { - "\u5B50\u5BAE": "\u9677", - "\u4E11\u5BAE": P, - "\u5BC5\u5BAE": "\u65FA", - "\u536F\u5BAE": P, - "\u8FB0\u5BAE": P, - "\u5DF3\u5BAE": "\u5EDF", - "\u5348\u5BAE": "\u5EDF", - "\u672A\u5BAE": P, - "\u7533\u5BAE": P, - "\u9149\u5BAE": P, - "\u620C\u5BAE": P, - "\u4EA5\u5BAE": "\u9677" - }, - moon: { - "\u5B50\u5BAE": "\u5EDF", - "\u4E11\u5BAE": P, - "\u5BC5\u5BAE": P, - "\u536F\u5BAE": "\u65FA", - "\u8FB0\u5BAE": P, - "\u5DF3\u5BAE": P, - "\u5348\u5BAE": "\u9677", - "\u672A\u5BAE": P, - "\u7533\u5BAE": P, - "\u9149\u5BAE": P, - "\u620C\u5BAE": P, - "\u4EA5\u5BAE": "\u5EDF" - }, - mercury: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - venus: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - mars: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - jupiter: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - saturn: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - rahu: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - ketu: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - yuebei: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P }, - purpleQi: { "\u5B50\u5BAE": P, "\u4E11\u5BAE": P, "\u5BC5\u5BAE": P, "\u536F\u5BAE": P, "\u8FB0\u5BAE": P, "\u5DF3\u5BAE": P, "\u5348\u5BAE": P, "\u672A\u5BAE": P, "\u7533\u5BAE": P, "\u9149\u5BAE": P, "\u620C\u5BAE": P, "\u4EA5\u5BAE": P } -}; -function getDignity(body, palace) { - return DIGNITY_TABLE[body][palace]; -} - -// src/seven-governors/data/aspects.ts -var ASPECT_RULES = [ - { distance: 0, type: "\u5408" }, - { distance: 3, type: "\u5211" }, - { distance: 4, type: "\u4E09\u5408" }, - { distance: 6, type: "\u6C96" }, - { distance: 8, type: "\u4E09\u5408" }, - { distance: 9, type: "\u5211" } -]; -function computeAspects(bodyPalaceIndices) { - const aspects = []; - const bodies = Array.from(bodyPalaceIndices.entries()); - for (let i = 0; i < bodies.length; i++) { - for (let j = i + 1; j < bodies.length; j++) { - const [body1, idx1] = bodies[i]; - const [body2, idx2] = bodies[j]; - const dist = Math.abs(idx1 - idx2); - const palaceDist = Math.min(dist, 12 - dist); - for (const rule of ASPECT_RULES) { - if (palaceDist === rule.distance) { - aspects.push({ body1, body2, type: rule.type }); - } - } - } - } - return aspects; -} - -// src/seven-governors/data/star-spirits.ts -var STAR_SPIRIT_RULES = [ - { - spirit: { - name: "\u65E5\u6708\u593E\u547D", - type: "auspicious", - condition: "Sun and Moon in palaces adjacent to \u547D\u5BAE", - source: "\u679C\u8001\u661F\u5B97" - }, - check: (ctx) => { - const sunIdx = ctx.bodyPalaceIndices.get("sun"); - const moonIdx = ctx.bodyPalaceIndices.get("moon"); - if (sunIdx === void 0 || moonIdx === void 0) return false; - const asc = ctx.ascendantPalaceIndex; - const adjLeft = (asc + 11) % 12; - const adjRight = (asc + 1) % 12; - return sunIdx === adjLeft && moonIdx === adjRight || sunIdx === adjRight && moonIdx === adjLeft; - } - }, - { - spirit: { - name: "\u797F\u5B58", - type: "auspicious", - condition: "Jupiter in \u547D\u5BAE", - source: "\u679C\u8001\u661F\u5B97" - }, - check: (ctx) => { - return ctx.bodyPalaceIndices.get("jupiter") === ctx.ascendantPalaceIndex; - } - }, - { - spirit: { - name: "\u706B\u9234\u593E\u547D", - type: "malefic", - condition: "Mars and Ketu in palaces adjacent to \u547D\u5BAE", - source: "\u679C\u8001\u661F\u5B97" - }, - check: (ctx) => { - const marsIdx = ctx.bodyPalaceIndices.get("mars"); - const ketuIdx = ctx.bodyPalaceIndices.get("ketu"); - if (marsIdx === void 0 || ketuIdx === void 0) return false; - const asc = ctx.ascendantPalaceIndex; - const adjLeft = (asc + 11) % 12; - const adjRight = (asc + 1) % 12; - return marsIdx === adjLeft && ketuIdx === adjRight || marsIdx === adjRight && ketuIdx === adjLeft; - } - } -]; -function evaluateStarSpirits(ctx) { - return STAR_SPIRIT_RULES.filter((r) => r.check(ctx)).map((r) => r.spirit); -} - -// src/seven-governors/chart.ts -var PLANET_MAP = { - mercury: "mercury", - venus: "venus", - mars: "mars", - jupiter: "jupiter", - saturn: "saturn" -}; -function getGovernorTropicalLon(body, date) { - if (body === "sun") return getSunLongitude(date); - if (body === "moon") return getMoonPosition(date).longitude; - const planet = PLANET_MAP[body]; - if (!planet) throw new Error(`Unknown governor: ${body}`); - return getPlanetPosition(planet, date).longitude; -} -function getRemainderTropicalLon(body, date, ketuMode) { - switch (body) { - case "rahu": - return getRahuPosition(date).longitude; - case "ketu": - return getKetuPosition(date, ketuMode).longitude; - case "yuebei": - return getYuebeiPosition(date).longitude; - case "purpleQi": - return getPurpleQiPosition(date).longitude; - } -} -function getSevenGovernorsChart(date, location, options) { - const siderealMode = options?.siderealMode ?? { type: "modern" }; - const ketuMode = options?.ketuMode ?? "apogee"; - const bodies = {}; - for (const gov of GOVERNORS) { - const tropLon = getGovernorTropicalLon(gov, date); - const sidLon = toSiderealLongitude(tropLon, date, siderealMode); - const mansion = getMansionForLongitude(sidLon); - const palace = getPalaceForLongitude(sidLon); - bodies[gov] = { - siderealLon: sidLon, - tropicalLon: tropLon, - mansion: mansion.name, - mansionDegree: mansion.degree, - palace: palace.name - }; - } - for (const rem of REMAINDERS) { - const tropLon = getRemainderTropicalLon(rem, date, ketuMode); - const sidLon = toSiderealLongitude(tropLon, date, siderealMode); - const mansion = getMansionForLongitude(sidLon); - const palace = getPalaceForLongitude(sidLon); - bodies[rem] = { - siderealLon: sidLon, - tropicalLon: tropLon, - mansion: mansion.name, - mansionDegree: mansion.degree, - palace: palace.name - }; - } - const asc = getAscendant(date, location); - const ascPalaceIdx = PALACE_BOUNDARIES.findIndex((p) => p.name === asc.palace); - if (ascPalaceIdx === -1) { - throw new Error(`Ascendant palace not found in PALACE_BOUNDARIES: ${asc.palace}`); - } - const palaces = PALACE_BOUNDARIES.map((pb, i) => { - const roleIdx = ((i - ascPalaceIdx) % 12 + 12) % 12; - const occupants = ALL_BODIES.filter( - (b) => bodies[b].palace === pb.name - ); - return { - name: pb.name, - role: PALACE_ROLES[roleIdx], - mansions: pb.mansions, - occupants: [...occupants] - }; - }); - const bodyPalaceIndices = /* @__PURE__ */ new Map(); - for (const body of ALL_BODIES) { - const idx = PALACE_BOUNDARIES.findIndex((p) => p.name === bodies[body].palace); - if (idx === -1) { - throw new Error(`Palace not found in PALACE_BOUNDARIES for body ${body}: ${bodies[body].palace}`); - } - bodyPalaceIndices.set(body, idx); - } - const aspects = computeAspects(bodyPalaceIndices); - const bodyPalaces = /* @__PURE__ */ new Map(); - const bodyMansions = /* @__PURE__ */ new Map(); - for (const body of ALL_BODIES) { - bodyPalaces.set(body, bodies[body].palace); - bodyMansions.set(body, bodies[body].mansion); - } - const spiritCtx = { - bodyPalaces, - bodyMansions, - bodyPalaceIndices, - ascendantPalaceIndex: ascPalaceIdx - }; - const starSpirits = evaluateStarSpirits(spiritCtx); - const dignities = {}; - for (const body of ALL_BODIES) { - dignities[body] = getDignity(body, bodies[body].palace); - } - return { - date, - location, - siderealMode, - ketuMode, - bodies, - palaces, - ascendant: { mansion: asc.mansion, palace: asc.palace }, - starSpirits, - aspects, - dignities - }; -} - -// src/qimen-chuanren.ts -var BRANCH_PALACE_MAP = { - "\u5B50": 1, - "\u4E11": 8, - "\u5BC5": 3, - "\u536F": 3, - "\u8FB0": 4, - "\u5DF3": 4, - "\u5348": 9, - "\u672A": 2, - "\u7533": 2, - "\u9149": 7, - "\u620C": 7, - "\u4EA5": 1 -}; -function branchToPalace(branch) { - return BRANCH_PALACE_MAP[branch]; -} -function computeChuanRenChart(date) { - const qimen = computeQiMenForDate(date); - const liuren = computeSixRenForDate(date); - const palaces = []; - for (let p = 1; p <= 9; p++) { - const earthBranches = []; - const heavenBranches = []; - for (const branch of BRANCHES) { - if (branchToPalace(branch) === p) { - earthBranches.push(branch); - heavenBranches.push(liuren.plates[branch]); - } - } - let transmission = null; - const { initial, middle, final: fin } = liuren.transmissions; - if (branchToPalace(initial) === p) transmission = "initial"; - if (branchToPalace(middle) === p) { - transmission = transmission === null ? "middle" : transmission; - } - if (branchToPalace(fin) === p) { - transmission = transmission === null ? "final" : transmission; - } - palaces.push({ - palace: p, - /* v8 ignore next 5 */ - star: qimen.stars[p] || "", - door: qimen.doors[p] || "", - deity: qimen.deities[p] || "", - heavenStem: qimen.heavenPlate[p] || "", - earthStem: qimen.earthPlate[p] || "", - liurenEarthBranches: earthBranches, - liurenHeavenBranches: heavenBranches, - transmission - }); - } - return { qimen, liuren, palaces }; -} - -// src/planets/chiron.ts -var CHIRON = { - e: 0.3824332665761756, - // eccentricity - q: 8.427167256222019, - // perihelion distance (AU) - tp: 2.4501437139770077e6, - // time of perihelion passage (JD TDB) - node: 209.2011110969138, - // longitude of ascending node (degrees) - peri: 339.6507836360996, - // argument of perihelion (degrees) - i: 6.949594396841555, - // inclination (degrees) - n: 0.019552734, - // mean daily motion (degrees/day) - a: 8.427167256222019 / (1 - 0.3824332665761756) - // semi-major axis (AU) -}; -function solveKepler(M, e) { - let E = M; - for (let iter = 0; iter < 30; iter++) { - const dE = (E - e * Math.sin(E) - M) / (1 - e * Math.cos(E)); - E -= dE; - if (Math.abs(dE) < 1e-12) break; - } - return E; -} -function getChironPosition(date) { - const jdTT = dateToJD_TT(date); - const dt = jdTT - CHIRON.tp; - const M_deg = normalizeDegrees(CHIRON.n * dt); - const M = M_deg * DEG_TO_RAD; - const E = solveKepler(M, CHIRON.e); - const sinNu = Math.sqrt(1 - CHIRON.e * CHIRON.e) * Math.sin(E) / (1 - CHIRON.e * Math.cos(E)); - const cosNu = (Math.cos(E) - CHIRON.e) / (1 - CHIRON.e * Math.cos(E)); - const nu = Math.atan2(sinNu, cosNu); - const r = CHIRON.a * (1 - CHIRON.e * Math.cos(E)); - const omega = CHIRON.peri * DEG_TO_RAD; - const Omega = CHIRON.node * DEG_TO_RAD; - const inc = CHIRON.i * DEG_TO_RAD; - const u = nu + omega; - const xh = r * (Math.cos(Omega) * Math.cos(u) - Math.sin(Omega) * Math.sin(u) * Math.cos(inc)); - const yh = r * (Math.sin(Omega) * Math.cos(u) + Math.cos(Omega) * Math.sin(u) * Math.cos(inc)); - const zh = r * Math.sin(u) * Math.sin(inc); - const sunLon = getSunLongitude(date); - const earthLon = (sunLon + 180) * DEG_TO_RAD; - const R_sun = 1; - const xe = R_sun * Math.cos(earthLon); - const ye = R_sun * Math.sin(earthLon); - const xg = xh - xe; - const yg = yh - ye; - const zg = zh; - const rGeo = Math.sqrt(xg * xg + yg * yg + zg * zg); - const longitude = normalizeDegrees(Math.atan2(yg, xg) * RAD_TO_DEG); - const latitude = Math.asin(zg / rGeo) * RAD_TO_DEG; - return { longitude, latitude, distance: rGeo }; -} - -// src/tropical-astrology.ts -var getNorthNodePosition = getRahuPosition; -var getLilithPosition = getYuebeiPosition; -var ZODIAC_SIGNS = [ - "Aries", - "Taurus", - "Gemini", - "Cancer", - "Leo", - "Virgo", - "Libra", - "Scorpio", - "Sagittarius", - "Capricorn", - "Aquarius", - "Pisces" -]; -var ASPECT_ANGLES = { - conjunction: 0, - sextile: 60, - square: 90, - trine: 120, - opposition: 180, - "semi-sextile": 30, - quincunx: 150, - "semi-square": 45, - sesquiquadrate: 135, - quintile: 72, - biquintile: 144 -}; -var MAJOR_ASPECTS = /* @__PURE__ */ new Set([ - "conjunction", - "opposition", - "trine", - "square", - "sextile" -]); -var DEFAULT_ORBS = { - conjunction: 8, - opposition: 8, - trine: 8, - square: 7, - sextile: 6, - "semi-sextile": 2, - quincunx: 2, - "semi-square": 2, - sesquiquadrate: 2, - quintile: 2, - biquintile: 2 -}; -var PLANETS = [ - "mercury", - "venus", - "mars", - "jupiter", - "saturn", - "uranus", - "neptune", - "pluto" -]; -function getZodiacSign(longitude) { - const norm = normalizeDegrees(longitude); - const signIndex2 = Math.floor(norm / 30); - const idx = signIndex2 >= 12 ? 0 : signIndex2; - return { - sign: ZODIAC_SIGNS[idx], - degree: norm - idx * 30 - }; -} -function computeAscendant(lstRad, epsRad, latRad) { - const sinLST = Math.sin(lstRad); - const cosLST = Math.cos(lstRad); - const sinEps = Math.sin(epsRad); - const cosEps = Math.cos(epsRad); - const tanLat = Math.tan(latRad); - const D = sinLST * cosEps + tanLat * sinEps; - const ascRad = Math.atan2(cosLST, -D); - return normalizeDegrees(ascRad * RAD_TO_DEG); -} -function computeMidheaven(lstRad, epsRad) { - const cosEps = Math.cos(epsRad); - const mcRad = Math.atan2(Math.sin(lstRad), Math.cos(lstRad) * cosEps); - return normalizeDegrees(mcRad * RAD_TO_DEG); -} -function placidusCusp(ramcDeg, epsRad, latRad, fraction, isNocturnal) { - const sinEps = Math.sin(epsRad); - const cosEps = Math.cos(epsRad); - const tanLat = Math.tan(latRad); - const ramcRad = ramcDeg * DEG_TO_RAD; - let H; - if (isNocturnal) { - H = ramcDeg + 90 + fraction * 90; - } else { - H = ramcDeg + fraction * 90; - } - for (let iter = 0; iter < 20; iter++) { - const hRad2 = normalizeDegrees(H) * DEG_TO_RAD; - const lonRad2 = Math.atan2(Math.sin(hRad2), Math.cos(hRad2) * cosEps); - const lonDeg = normalizeDegrees(lonRad2 * RAD_TO_DEG); - const dec = Math.asin(sinEps * Math.sin(lonRad2)); - const x = -tanLat * Math.tan(dec); - let semiArc; - if (x < -1) { - semiArc = 180; - } else if (x > 1) { - semiArc = 0; - } else { - semiArc = Math.acos(x) * RAD_TO_DEG; - } - let Hnew; - if (isNocturnal) { - Hnew = ramcDeg + semiArc + fraction * (180 - semiArc); - } else { - Hnew = ramcDeg + fraction * semiArc; - } - const diff = Math.abs(normalizeDegrees(Hnew - H)); - H = Hnew; - if (diff < 1e-3 || diff > 359.999) break; - } - const hRad = normalizeDegrees(H) * DEG_TO_RAD; - const lonRad = Math.atan2(Math.sin(hRad), Math.cos(hRad) * cosEps); - return normalizeDegrees(lonRad * RAD_TO_DEG); -} -function computeKochCusps(ramcDeg, ascDeg, mcDeg, epsRad, latRad) { - const sinEps = Math.sin(epsRad); - const tanLat = Math.tan(latRad); - const mcRad = mcDeg * DEG_TO_RAD; - const decMC = Math.asin(sinEps * Math.sin(mcRad)); - const x = -tanLat * Math.tan(decMC); - let semiArcMC; - if (x < -1) { - semiArcMC = 180; - } else if (x > 1) { - semiArcMC = 0; - } else { - semiArcMC = Math.acos(x) * RAD_TO_DEG; - } - const cusps = new Array(12); - cusps[9] = mcDeg; - cusps[0] = ascDeg; - cusps[10] = computeAscendant( - (ramcDeg - 2 / 3 * semiArcMC) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[11] = computeAscendant( - (ramcDeg - 1 / 3 * semiArcMC) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[1] = computeAscendant( - (ramcDeg + 1 / 3 * semiArcMC) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[2] = computeAscendant( - (ramcDeg + 2 / 3 * semiArcMC) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[3] = normalizeDegrees(cusps[9] + 180); - cusps[4] = normalizeDegrees(cusps[10] + 180); - cusps[5] = normalizeDegrees(cusps[11] + 180); - cusps[6] = normalizeDegrees(cusps[0] + 180); - cusps[7] = normalizeDegrees(cusps[1] + 180); - cusps[8] = normalizeDegrees(cusps[2] + 180); - return cusps; -} -function forwardArc(from, to) { - return ((to - from) % 360 + 360) % 360; -} -function computeHouses(date, lat, lng, system) { - const T = dateToJulianCenturies(date); - const epsRad = trueObliquity(T); - const gmst = greenwichMeanSiderealTime(date); - const lst = normalizeDegrees(gmst + lng); - const lstRad = lst * DEG_TO_RAD; - const latRad = lat * DEG_TO_RAD; - const ascendant = computeAscendant(lstRad, epsRad, latRad); - const midheaven = computeMidheaven(lstRad, epsRad); - let cusps; - switch (system) { - case "equal": { - cusps = Array.from( - { length: 12 }, - (_, i) => normalizeDegrees(ascendant + i * 30) - ); - break; - } - case "whole-sign": { - const signStart = Math.floor(ascendant / 30) * 30; - cusps = Array.from( - { length: 12 }, - (_, i) => normalizeDegrees(signStart + i * 30) - ); - break; - } - case "placidus": { - cusps = new Array(12); - cusps[0] = ascendant; - cusps[9] = midheaven; - cusps[6] = normalizeDegrees(ascendant + 180); - cusps[3] = normalizeDegrees(midheaven + 180); - const ramcDeg = lst; - cusps[10] = placidusCusp(ramcDeg, epsRad, latRad, 1 / 3, false); - cusps[11] = placidusCusp(ramcDeg, epsRad, latRad, 2 / 3, false); - cusps[1] = placidusCusp(ramcDeg, epsRad, latRad, 1 / 3, true); - cusps[2] = placidusCusp(ramcDeg, epsRad, latRad, 2 / 3, true); - cusps[4] = normalizeDegrees(cusps[10] + 180); - cusps[5] = normalizeDegrees(cusps[11] + 180); - cusps[7] = normalizeDegrees(cusps[1] + 180); - cusps[8] = normalizeDegrees(cusps[2] + 180); - break; - } - case "koch": { - cusps = computeKochCusps(lst, ascendant, midheaven, epsRad, latRad); - break; - } - case "porphyry": { - cusps = new Array(12); - cusps[0] = ascendant; - cusps[9] = midheaven; - cusps[6] = normalizeDegrees(ascendant + 180); - cusps[3] = normalizeDegrees(midheaven + 180); - const q1 = forwardArc(midheaven, ascendant); - cusps[10] = normalizeDegrees(midheaven + q1 / 3); - cusps[11] = normalizeDegrees(midheaven + 2 * q1 / 3); - const ic = cusps[3]; - const q2 = forwardArc(ascendant, ic); - cusps[1] = normalizeDegrees(ascendant + q2 / 3); - cusps[2] = normalizeDegrees(ascendant + 2 * q2 / 3); - cusps[4] = normalizeDegrees(cusps[10] + 180); - cusps[5] = normalizeDegrees(cusps[11] + 180); - cusps[7] = normalizeDegrees(cusps[1] + 180); - cusps[8] = normalizeDegrees(cusps[2] + 180); - break; - } - case "regiomontanus": { - cusps = new Array(12); - cusps[0] = ascendant; - cusps[9] = midheaven; - const ramcDegR = lst; - const sinEpsR = Math.sin(epsRad); - const cosEpsR = Math.cos(epsRad); - const tanLatR = Math.tan(latRad); - for (const [idx, houseOffset] of [[10, 30], [11, 60], [1, 120], [2, 150]]) { - const H = normalizeDegrees(ramcDegR + houseOffset) * DEG_TO_RAD; - const ramcRad = ramcDegR * DEG_TO_RAD; - const decH = Math.atan(tanLatR * Math.sin(H - ramcRad)); - const lonRad = Math.atan2( - Math.sin(H), - cosEpsR * Math.cos(H) + sinEpsR * Math.tan(decH) - ); - cusps[idx] = normalizeDegrees(lonRad * RAD_TO_DEG); - } - cusps[3] = normalizeDegrees(cusps[9] + 180); - cusps[4] = normalizeDegrees(cusps[10] + 180); - cusps[5] = normalizeDegrees(cusps[11] + 180); - cusps[6] = normalizeDegrees(cusps[0] + 180); - cusps[7] = normalizeDegrees(cusps[1] + 180); - cusps[8] = normalizeDegrees(cusps[2] + 180); - break; - } - case "campanus": { - cusps = new Array(12); - cusps[0] = ascendant; - cusps[9] = midheaven; - const ramcDegC = lst; - const sinEpsC = Math.sin(epsRad); - const cosEpsC = Math.cos(epsRad); - const cosLatC = Math.cos(latRad); - const sinLatC = Math.sin(latRad); - for (const [idx, pvAngleDeg] of [[10, 30], [11, 60], [1, 120], [2, 150]]) { - const pvRad = pvAngleDeg * DEG_TO_RAD; - const raOffset = Math.atan2( - Math.sin(pvRad), - cosLatC * Math.cos(pvRad) + sinLatC * Math.sin(pvRad) * 0 - // Campanus: H = atan(sin(PV) / cos(PV) * cos(lat)) - ); - const hRad = Math.atan2(Math.sin(pvRad), Math.cos(pvRad) * cosLatC); - const raH = ramcDegC * DEG_TO_RAD + hRad; - const decC = Math.asin(sinLatC * Math.sin(pvRad)); - const lonRad = Math.atan2( - Math.sin(raH), - cosEpsC * Math.cos(raH) + sinEpsC * Math.tan(decC) - ); - cusps[idx] = normalizeDegrees(lonRad * RAD_TO_DEG); - } - cusps[3] = normalizeDegrees(cusps[9] + 180); - cusps[4] = normalizeDegrees(cusps[10] + 180); - cusps[5] = normalizeDegrees(cusps[11] + 180); - cusps[6] = normalizeDegrees(cusps[0] + 180); - cusps[7] = normalizeDegrees(cusps[1] + 180); - cusps[8] = normalizeDegrees(cusps[2] + 180); - break; - } - case "alcabitius": { - cusps = new Array(12); - cusps[0] = ascendant; - cusps[9] = midheaven; - const sinEpsA = Math.sin(epsRad); - const tanLatA = Math.tan(latRad); - const ascRad = ascendant * DEG_TO_RAD; - const decAsc = Math.asin(sinEpsA * Math.sin(ascRad)); - const xA = -tanLatA * Math.tan(decAsc); - let dsaAsc; - if (xA < -1) { - dsaAsc = 180; - } else if (xA > 1) { - dsaAsc = 0; - } else { - dsaAsc = Math.acos(xA) * RAD_TO_DEG; - } - cusps[10] = computeAscendant( - (lst - 2 / 3 * dsaAsc) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[11] = computeAscendant( - (lst - 1 / 3 * dsaAsc) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[1] = computeAscendant( - (lst + 1 / 3 * dsaAsc) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[2] = computeAscendant( - (lst + 2 / 3 * dsaAsc) * DEG_TO_RAD, - epsRad, - latRad - ); - cusps[3] = normalizeDegrees(cusps[9] + 180); - cusps[4] = normalizeDegrees(cusps[10] + 180); - cusps[5] = normalizeDegrees(cusps[11] + 180); - cusps[6] = normalizeDegrees(cusps[0] + 180); - cusps[7] = normalizeDegrees(cusps[1] + 180); - cusps[8] = normalizeDegrees(cusps[2] + 180); - break; - } - case "morinus": { - cusps = new Array(12); - const cosEpsM = Math.cos(epsRad); - for (let i = 0; i < 12; i++) { - const angle = normalizeDegrees(lst + (i + 1) * 30); - const angleRad = angle * DEG_TO_RAD; - const lon = Math.atan2(Math.sin(angleRad), Math.cos(angleRad) * cosEpsM); - cusps[i] = normalizeDegrees(lon * RAD_TO_DEG); - } - break; - } - case "topocentric": { - cusps = new Array(12); - cusps[0] = ascendant; - cusps[9] = midheaven; - const ramcDegT = lst; - const sinEpsT = Math.sin(epsRad); - const cosEpsT = Math.cos(epsRad); - const tanLatT = Math.tan(latRad); - const tanLatThird = tanLatT / 3; - const h11 = normalizeDegrees(ramcDegT + 30) * DEG_TO_RAD; - const dec11 = Math.atan(tanLatThird * Math.sin(h11 - ramcDegT * DEG_TO_RAD)); - cusps[10] = normalizeDegrees( - Math.atan2(Math.sin(h11), cosEpsT * Math.cos(h11) + sinEpsT * Math.tan(dec11)) * RAD_TO_DEG - ); - const tanLat2Third = 2 * tanLatThird; - const h12 = normalizeDegrees(ramcDegT + 60) * DEG_TO_RAD; - const dec12 = Math.atan(tanLat2Third * Math.sin(h12 - ramcDegT * DEG_TO_RAD)); - cusps[11] = normalizeDegrees( - Math.atan2(Math.sin(h12), cosEpsT * Math.cos(h12) + sinEpsT * Math.tan(dec12)) * RAD_TO_DEG - ); - const h2 = normalizeDegrees(ramcDegT + 120) * DEG_TO_RAD; - const dec2 = Math.atan(tanLat2Third * Math.sin(h2 - ramcDegT * DEG_TO_RAD)); - cusps[1] = normalizeDegrees( - Math.atan2(Math.sin(h2), cosEpsT * Math.cos(h2) + sinEpsT * Math.tan(dec2)) * RAD_TO_DEG - ); - const h3 = normalizeDegrees(ramcDegT + 150) * DEG_TO_RAD; - const dec3 = Math.atan(tanLatThird * Math.sin(h3 - ramcDegT * DEG_TO_RAD)); - cusps[2] = normalizeDegrees( - Math.atan2(Math.sin(h3), cosEpsT * Math.cos(h3) + sinEpsT * Math.tan(dec3)) * RAD_TO_DEG - ); - cusps[3] = normalizeDegrees(cusps[9] + 180); - cusps[4] = normalizeDegrees(cusps[10] + 180); - cusps[5] = normalizeDegrees(cusps[11] + 180); - cusps[6] = normalizeDegrees(cusps[0] + 180); - cusps[7] = normalizeDegrees(cusps[1] + 180); - cusps[8] = normalizeDegrees(cusps[2] + 180); - break; - } - /* v8 ignore next 2 */ - default: - throw new Error(`Unknown house system: ${system}`); - } - return { - system, - cusps, - ascendant, - midheaven - }; -} -function findAspects(positions, orbs, speeds) { - const effectiveOrbs = { ...DEFAULT_ORBS, ...orbs }; - const aspects = []; - for (let i = 0; i < positions.length; i++) { - for (let j = i + 1; j < positions.length; j++) { - const p1 = positions[i]; - const p2 = positions[j]; - const diff = Math.abs(p1.longitude - p2.longitude); - const separation = diff > 180 ? 360 - diff : diff; - for (const [name, targetAngle] of Object.entries(ASPECT_ANGLES)) { - const orb = Math.abs(separation - targetAngle); - if (orb <= effectiveOrbs[name]) { - const applying = speeds ? isAspectApplying(p1.longitude, p2.longitude, speeds[p1.body] ?? 0, speeds[p2.body] ?? 0, targetAngle) : true; - aspects.push({ - body1: p1.body, - body2: p2.body, - type: name, - angle: targetAngle, - orb, - applying, - major: MAJOR_ASPECTS.has(name) - }); - } - } - } - } - return aspects; -} -function isAspectApplying(lon1, lon2, speed1, speed2, targetAngle) { - let diff = lon2 - lon1; - if (diff < -180) diff += 360; - if (diff > 180) diff -= 360; - const currentSep = Math.abs(diff); - const currentOrb = Math.abs(currentSep - targetAngle); - const dt = 1; - let futDiff = lon2 + speed2 * dt - (lon1 + speed1 * dt); - if (futDiff < -180) futDiff += 360; - if (futDiff > 180) futDiff -= 360; - const futureSep = Math.abs(futDiff); - const futureOrb = Math.abs(futureSep - targetAngle); - return futureOrb < currentOrb; -} -function findParallelAspects(positions, orb = 1) { - const results = []; - for (let i = 0; i < positions.length; i++) { - for (let j = i + 1; j < positions.length; j++) { - const a = positions[i]; - const b = positions[j]; - const parOrb = Math.abs(a.declination - b.declination); - if (parOrb <= orb) { - results.push({ body1: a.body, body2: b.body, type: "parallel", orb: parOrb }); - } - const cpOrb = Math.abs(a.declination + b.declination); - if (cpOrb <= orb) { - results.push({ body1: a.body, body2: b.body, type: "contra-parallel", orb: cpOrb }); - } - } - } - return results; -} -var DIGNITY_TABLE2 = { - Sun: { - rulership: "Leo", - exaltation: "Aries", - detriment: "Aquarius", - fall: "Libra" - }, - Moon: { - rulership: "Cancer", - exaltation: "Taurus", - detriment: "Capricorn", - fall: "Scorpio" - }, - Mercury: { - rulership: ["Gemini", "Virgo"], - exaltation: "Virgo", - detriment: ["Sagittarius", "Pisces"], - fall: "Pisces" - }, - Venus: { - rulership: ["Taurus", "Libra"], - exaltation: "Pisces", - detriment: ["Aries", "Scorpio"], - fall: "Virgo" - }, - Mars: { - rulership: ["Aries", "Scorpio"], - exaltation: "Capricorn", - detriment: ["Taurus", "Libra"], - fall: "Cancer" - }, - Jupiter: { - rulership: ["Sagittarius", "Pisces"], - exaltation: "Cancer", - detriment: ["Gemini", "Virgo"], - fall: "Capricorn" - }, - Saturn: { - rulership: ["Capricorn", "Aquarius"], - exaltation: "Libra", - detriment: ["Cancer", "Leo"], - fall: "Aries" - } -}; -function matchesSign(entry, sign) { - return Array.isArray(entry) ? entry.includes(sign) : entry === sign; -} -function getDignity2(body, sign) { - const entry = DIGNITY_TABLE2[body]; - if (!entry) return null; - if (matchesSign(entry.rulership, sign)) return "rulership"; - if (entry.exaltation === sign) return "exaltation"; - if (matchesSign(entry.detriment, sign)) return "detriment"; - if (entry.fall === sign) return "fall"; - return null; -} -function getHouseNumber(longitude, cusps) { - const lon = normalizeDegrees(longitude); - for (let i = 0; i < 12; i++) { - const cuspStart = cusps[i]; - const cuspEnd = cusps[(i + 1) % 12]; - if (cuspStart <= cuspEnd) { - if (lon >= cuspStart && lon < cuspEnd) { - return i + 1; - } - } else { - if (lon >= cuspStart || lon < cuspEnd) { - return i + 1; - } - } - } - return 1; -} -function capitalize(s) { - return s.charAt(0).toUpperCase() + s.slice(1); -} -function computeTropicalChart(date, lat, lng, options) { - const houseSystem = options?.houseSystem ?? "placidus"; - const customOrbs = options?.orbs; - const houses = computeHouses(date, lat, lng, houseSystem); - const positions = []; - const sunLon = getSunLongitude(date); - const sunSign = getZodiacSign(sunLon); - positions.push({ - body: "Sun", - longitude: sunLon, - latitude: 0, - // Sun's ecliptic latitude is effectively 0 - sign: sunSign.sign, - signDegree: sunSign.degree, - house: getHouseNumber(sunLon, houses.cusps), - dignity: getDignity2("Sun", sunSign.sign) - }); - const moonPos = getMoonPosition(date); - const moonSign = getZodiacSign(moonPos.longitude); - positions.push({ - body: "Moon", - longitude: moonPos.longitude, - latitude: moonPos.latitude, - sign: moonSign.sign, - signDegree: moonSign.degree, - house: getHouseNumber(moonPos.longitude, houses.cusps), - dignity: getDignity2("Moon", moonSign.sign) - }); - for (const planet of PLANETS) { - const pos = getPlanetPosition(planet, date); - const sign = getZodiacSign(pos.longitude); - const displayName = capitalize(planet); - positions.push({ - body: displayName, - longitude: pos.longitude, - latitude: pos.latitude, - sign: sign.sign, - signDegree: sign.degree, - house: getHouseNumber(pos.longitude, houses.cusps), - dignity: getDignity2(displayName, sign.sign) - }); - } - const nnPos = getNorthNodePosition(date); - const nnSign = getZodiacSign(nnPos.longitude); - positions.push({ - body: "North Node", - longitude: nnPos.longitude, - latitude: nnPos.latitude, - sign: nnSign.sign, - signDegree: nnSign.degree, - house: getHouseNumber(nnPos.longitude, houses.cusps), - dignity: null - }); - const snLon = normalizeDegrees(nnPos.longitude + 180); - const snSign = getZodiacSign(snLon); - positions.push({ - body: "South Node", - longitude: snLon, - latitude: 0, - sign: snSign.sign, - signDegree: snSign.degree, - house: getHouseNumber(snLon, houses.cusps), - dignity: null - }); - const chironPos = getChironPosition(date); - const chironSign = getZodiacSign(chironPos.longitude); - positions.push({ - body: "Chiron", - longitude: chironPos.longitude, - latitude: chironPos.latitude, - sign: chironSign.sign, - signDegree: chironSign.degree, - house: getHouseNumber(chironPos.longitude, houses.cusps), - dignity: null - }); - const lilithPos = getLilithPosition(date); - const lilithSign = getZodiacSign(lilithPos.longitude); - positions.push({ - body: "Lilith", - longitude: lilithPos.longitude, - latitude: lilithPos.latitude, - sign: lilithSign.sign, - signDegree: lilithSign.degree, - house: getHouseNumber(lilithPos.longitude, houses.cusps), - dignity: null - }); - const sunHouse = getHouseNumber(sunLon, houses.cusps); - const isDayChart2 = sunHouse >= 7 && sunHouse <= 12; - const pofLon = isDayChart2 ? normalizeDegrees(houses.ascendant + moonPos.longitude - sunLon) : normalizeDegrees(houses.ascendant + sunLon - moonPos.longitude); - const pofSign = getZodiacSign(pofLon); - positions.push({ - body: "Part of Fortune", - longitude: pofLon, - latitude: 0, - sign: pofSign.sign, - signDegree: pofSign.degree, - house: getHouseNumber(pofLon, houses.cusps), - dignity: null - }); - const T = dateToJulianCenturies(date); - const epsRad = trueObliquity(T); - const gmst = greenwichMeanSiderealTime(date); - const lstDeg = normalizeDegrees(gmst + lng); - const lstRad = lstDeg * DEG_TO_RAD; - const coLatRad = (90 - lat) * DEG_TO_RAD; - const antiVertexLon = computeAscendant(lstRad, epsRad, coLatRad); - const vertexLon = normalizeDegrees(antiVertexLon + 180); - const vertexSign = getZodiacSign(vertexLon); - positions.push({ - body: "Vertex", - longitude: vertexLon, - latitude: 0, - sign: vertexSign.sign, - signDegree: vertexSign.degree, - house: getHouseNumber(vertexLon, houses.cusps), - dignity: null - }); - const aspects = findAspects(positions, customOrbs); - return { - positions, - houses, - aspects - }; -} - -// src/sign-metadata.ts -var SIGN_ELEMENT = { - Aries: "fire", - Taurus: "earth", - Gemini: "air", - Cancer: "water", - Leo: "fire", - Virgo: "earth", - Libra: "air", - Scorpio: "water", - Sagittarius: "fire", - Capricorn: "earth", - Aquarius: "air", - Pisces: "water" -}; -var SIGN_QUALITY = { - Aries: "cardinal", - Taurus: "fixed", - Gemini: "mutable", - Cancer: "cardinal", - Leo: "fixed", - Virgo: "mutable", - Libra: "cardinal", - Scorpio: "fixed", - Sagittarius: "mutable", - Capricorn: "cardinal", - Aquarius: "fixed", - Pisces: "mutable" -}; -var SIGN_POLARITY = { - Aries: "positive", - Taurus: "negative", - Gemini: "positive", - Cancer: "negative", - Leo: "positive", - Virgo: "negative", - Libra: "positive", - Scorpio: "negative", - Sagittarius: "positive", - Capricorn: "negative", - Aquarius: "positive", - Pisces: "negative" -}; -var SIGN_RULER = { - Aries: "Mars", - Taurus: "Venus", - Gemini: "Mercury", - Cancer: "Moon", - Leo: "Sun", - Virgo: "Mercury", - Libra: "Venus", - Scorpio: "Mars", - Sagittarius: "Jupiter", - Capricorn: "Saturn", - Aquarius: "Saturn", - Pisces: "Jupiter" -}; - -// src/dignity-tables.ts -var ZODIAC_SIGNS2 = [ - "Aries", - "Taurus", - "Gemini", - "Cancer", - "Leo", - "Virgo", - "Libra", - "Scorpio", - "Sagittarius", - "Capricorn", - "Aquarius", - "Pisces" -]; -function signIndex(sign) { - return ZODIAC_SIGNS2.indexOf(sign); -} -var CLASSICAL_DIGNITIES = { - Sun: { rulership: ["Leo"], exaltation: "Aries", detriment: ["Aquarius"], fall: "Libra" }, - Moon: { rulership: ["Cancer"], exaltation: "Taurus", detriment: ["Capricorn"], fall: "Scorpio" }, - Mercury: { rulership: ["Gemini", "Virgo"], exaltation: "Virgo", detriment: ["Sagittarius", "Pisces"], fall: "Pisces" }, - Venus: { rulership: ["Taurus", "Libra"], exaltation: "Pisces", detriment: ["Aries", "Scorpio"], fall: "Virgo" }, - Mars: { rulership: ["Aries", "Scorpio"], exaltation: "Capricorn", detriment: ["Taurus", "Libra"], fall: "Cancer" }, - Jupiter: { rulership: ["Sagittarius", "Pisces"], exaltation: "Cancer", detriment: ["Gemini", "Virgo"], fall: "Capricorn" }, - Saturn: { rulership: ["Capricorn", "Aquarius"], exaltation: "Libra", detriment: ["Cancer", "Leo"], fall: "Aries" } -}; -var TRIPLICITY_RULERS = { - fire: { day: "Sun", night: "Jupiter" }, - earth: { day: "Venus", night: "Moon" }, - air: { day: "Saturn", night: "Mercury" }, - water: { day: "Mars", night: "Mars" } -}; -function getTriplicityRuler(sign, isDayChart2) { - const element = SIGN_ELEMENT[sign]; - const rulers = TRIPLICITY_RULERS[element]; - return isDayChart2 ? rulers.day : rulers.night; -} -var EGYPTIAN_TERMS = { - Aries: [["Jupiter", 6], ["Venus", 12], ["Mercury", 20], ["Mars", 25], ["Saturn", 30]], - Taurus: [["Venus", 8], ["Mercury", 14], ["Jupiter", 22], ["Saturn", 27], ["Mars", 30]], - Gemini: [["Mercury", 6], ["Jupiter", 12], ["Venus", 17], ["Mars", 24], ["Saturn", 30]], - Cancer: [["Mars", 7], ["Venus", 13], ["Mercury", 19], ["Jupiter", 26], ["Saturn", 30]], - Leo: [["Jupiter", 6], ["Venus", 11], ["Saturn", 18], ["Mercury", 24], ["Mars", 30]], - Virgo: [["Mercury", 7], ["Venus", 17], ["Jupiter", 21], ["Mars", 28], ["Saturn", 30]], - Libra: [["Saturn", 6], ["Mercury", 14], ["Jupiter", 21], ["Venus", 28], ["Mars", 30]], - Scorpio: [["Mars", 7], ["Venus", 11], ["Mercury", 19], ["Jupiter", 24], ["Saturn", 30]], - Sagittarius: [["Jupiter", 12], ["Venus", 17], ["Mercury", 21], ["Saturn", 26], ["Mars", 30]], - Capricorn: [["Mercury", 7], ["Jupiter", 14], ["Venus", 22], ["Saturn", 26], ["Mars", 30]], - Aquarius: [["Mercury", 7], ["Venus", 13], ["Jupiter", 20], ["Mars", 25], ["Saturn", 30]], - Pisces: [["Venus", 12], ["Jupiter", 16], ["Mercury", 19], ["Mars", 28], ["Saturn", 30]] -}; -function getTermRuler(sign, degree) { - const terms = EGYPTIAN_TERMS[sign]; - for (const [ruler, endDeg] of terms) { - if (degree < endDeg) return ruler; - } - return terms[terms.length - 1][0]; -} -var CHALDEAN_ORDER = ["Mars", "Sun", "Venus", "Mercury", "Moon", "Saturn", "Jupiter"]; -function getFaceRuler(sign, degree) { - const si = signIndex(sign); - const faceWithinSign = Math.min(Math.floor(degree / 10), 2); - const globalFace = si * 3 + faceWithinSign; - return CHALDEAN_ORDER[globalFace % 7]; -} -var DIGNITY_SCORES = { - rulership: 5, - exaltation: 4, - triplicity: 3, - term: 2, - face: 1, - detriment: -5, - fall: -4 -}; -function getExtendedDignity(body, sign, degree, isDayChart2) { - const entry = CLASSICAL_DIGNITIES[body]; - if (!entry) return { dignities: [], score: 0 }; - const dignities = []; - if (entry.rulership.includes(sign)) { - dignities.push("rulership"); - } - if (entry.exaltation === sign) { - dignities.push("exaltation"); - } - if (getTriplicityRuler(sign, isDayChart2) === body) { - dignities.push("triplicity"); - } - if (getTermRuler(sign, degree) === body) { - dignities.push("term"); - } - if (getFaceRuler(sign, degree) === body) { - dignities.push("face"); - } - if (entry.detriment.includes(sign)) { - dignities.push("detriment"); - } - if (entry.fall === sign) { - dignities.push("fall"); - } - const score = dignities.reduce((sum, d) => sum + DIGNITY_SCORES[d], 0); - return { dignities, score }; -} -function isPeregrine(body, sign, degree, isDayChart2) { - const entry = CLASSICAL_DIGNITIES[body]; - if (!entry) return false; - if (entry.rulership.includes(sign)) return false; - if (entry.exaltation === sign) return false; - if (getTriplicityRuler(sign, isDayChart2) === body) return false; - if (getTermRuler(sign, degree) === body) return false; - if (getFaceRuler(sign, degree) === body) return false; - return true; -} -function bodyRulingSign(body) { - const entry = CLASSICAL_DIGNITIES[body]; - return entry ? entry.rulership : []; -} -function findMutualReceptions(positions) { - const receptions = []; - for (let i = 0; i < positions.length; i++) { - for (let j = i + 1; j < positions.length; j++) { - const a = positions[i]; - const b = positions[j]; - const bRules = bodyRulingSign(b.body); - const aRules = bodyRulingSign(a.body); - if (bRules.includes(a.sign) && aRules.includes(b.sign)) { - receptions.push({ - body1: a.body, - body2: b.body, - type: "domicile" - }); - } - } - } - return receptions; -} - -// src/speed.ts -function computeSpeed(date, getPosition, dt = 36e5) { - const t = date.getTime(); - const before = new Date(t - dt); - const after = new Date(t + dt); - let diff = getPosition(after) - getPosition(before); - if (diff > 180) diff -= 360; - if (diff < -180) diff += 360; - const dtDays = 2 * dt / 864e5; - return diff / dtDays; -} - -// src/birth-chart-analysis.ts -var CHALDEAN_ORDER2 = ["Saturn", "Jupiter", "Mars", "Sun", "Venus", "Mercury", "Moon"]; -var DAY_RULERS = ["Sun", "Moon", "Mars", "Mercury", "Jupiter", "Venus", "Saturn"]; -function isDayChart(sunHouse) { - return sunHouse >= 7 && sunHouse <= 12; -} -function computeDispositorChain(positions) { - const chain2 = {}; - for (const { body, sign } of positions) { - chain2[body] = SIGN_RULER[sign]; - } - return chain2; -} -function findFinalDispositor(chain2) { - for (const [body, ruler] of Object.entries(chain2)) { - if (body === ruler) return body; - } - return null; -} -function computeAntiscia(longitude) { - return normalizeDegrees(180 - longitude); -} -function computeContraAntiscia(longitude) { - return normalizeDegrees(360 - longitude); -} -function computeDistributions(positions) { - const elements = { fire: 0, earth: 0, air: 0, water: 0 }; - const qualities = { cardinal: 0, fixed: 0, mutable: 0 }; - const polarities = { positive: 0, negative: 0 }; - for (const { element, quality, polarity } of positions) { - elements[element]++; - qualities[quality]++; - polarities[polarity]++; - } - const dominantElement = Object.entries(elements).sort((a, b) => b[1] - a[1])[0][0]; - const dominantQuality = Object.entries(qualities).sort((a, b) => b[1] - a[1])[0][0]; - return { - elements: { ...elements, dominant: dominantElement }, - qualities: { ...qualities, dominant: dominantQuality }, - polarities - }; -} -function computeHemispheres(positions) { - let north = 0, south = 0, east = 0, west = 0; - const eastHouses = /* @__PURE__ */ new Set([10, 11, 12, 1, 2, 3]); - for (const { house } of positions) { - if (house >= 1 && house <= 6) north++; - else south++; - if (eastHouses.has(house)) east++; - else west++; - } - return { north, south, east, west }; -} -function detectChartPattern(longitudes) { - if (longitudes.length === 0) return "Splay"; - const sorted = longitudes.map((l) => normalizeDegrees(l)).sort((a, b) => a - b); - const n = sorted.length; - const gaps = []; - for (let i = 0; i < n; i++) { - const next = (i + 1) % n; - const gap = normalizeDegrees(sorted[next] - sorted[i]); - gaps.push(gap); - } - const maxGap = Math.max(...gaps); - const span = 360 - maxGap; - const signs = new Set(sorted.map((l) => Math.floor(l / 30))); - if (span <= 120) return "Bundle"; - if (span <= 180) return "Bowl"; - if (span > 180 && span <= 270) { - for (let i = 0; i < n; i++) { - const remaining = sorted.filter((_, j) => j !== i); - const rGaps = []; - for (let j = 0; j < remaining.length; j++) { - const next = (j + 1) % remaining.length; - rGaps.push(normalizeDegrees(remaining[next] - remaining[j])); - } - const rMaxGap = Math.max(...rGaps); - const rSpan = 360 - rMaxGap; - if (rSpan <= 180) return "Bucket"; - } - } - if (maxGap >= 60 && maxGap <= 180 && span <= 240) { - return "Locomotive"; - } - const largeGaps = gaps.filter((g) => g >= 60); - if (largeGaps.length === 2) return "See-Saw"; - if (signs.size >= 7) return "Splash"; - return "Splay"; -} -function computeMoonPhase(sunLon, moonLon) { - const elongation = normalizeDegrees(moonLon - sunLon); - const elongRad = elongation * DEG_TO_RAD; - const illumination = (1 - Math.cos(elongRad)) / 2; - let name; - if (elongation < 45) name = "New Moon"; - else if (elongation < 90) name = "Crescent"; - else if (elongation < 135) name = "First Quarter"; - else if (elongation < 180) name = "Gibbous"; - else if (elongation < 225) name = "Full Moon"; - else if (elongation < 270) name = "Disseminating"; - else if (elongation < 315) name = "Last Quarter"; - else name = "Balsamic"; - return { name, angle: elongation, illumination }; -} -function computePlanetaryHour(date, lat, lng) { - const dayOfYear = getDayOfYear(date); - const declination = 23.44 * Math.sin((dayOfYear - 81) * 360 / 365 * DEG_TO_RAD); - const latRad = lat * DEG_TO_RAD; - const decRad = declination * DEG_TO_RAD; - let cosHA = -Math.tan(latRad) * Math.tan(decRad); - cosHA = Math.max(-1, Math.min(1, cosHA)); - const haRad = Math.acos(cosHA); - const haDeg = haRad / DEG_TO_RAD; - const solarNoon = 12 - lng / 15; - const sunriseH = solarNoon - haDeg / 15; - const sunsetH = solarNoon + haDeg / 15; - const dayLength = sunsetH - sunriseH; - const nightLength = 24 - dayLength; - const currentH = date.getUTCHours() + date.getUTCMinutes() / 60 + date.getUTCSeconds() / 3600; - let hourNumber; - let isDayHour; - if (currentH >= sunriseH && currentH < sunsetH) { - isDayHour = true; - const dayHourLength = dayLength / 12; - hourNumber = Math.floor((currentH - sunriseH) / dayHourLength) + 1; - hourNumber = Math.min(hourNumber, 12); - } else { - isDayHour = false; - let nightElapsed; - if (currentH >= sunsetH) { - nightElapsed = currentH - sunsetH; - } else { - nightElapsed = 24 - sunsetH + currentH; - } - const nightHourLength = nightLength / 12; - hourNumber = Math.floor(nightElapsed / nightHourLength) + 13; - hourNumber = Math.min(hourNumber, 24); - } - const dayRuler = getPlanetaryDay(date); - const startIdx = CHALDEAN_ORDER2.indexOf(dayRuler); - const planet = CHALDEAN_ORDER2[(startIdx + (hourNumber - 1)) % 7]; - return { planet, hourNumber, isDayHour }; -} -function getPlanetaryDay(date) { - const day = date.getUTCDay(); - return DAY_RULERS[day]; -} -function computeSolarProximity(bodyLon, sunLon) { - const diff = normalizeDegrees(bodyLon - sunLon); - const angularDistance = Math.min(diff, 360 - diff); - const cazimi = angularDistance < 0.2833; - const combust = angularDistance < 8.5; - const underBeams = !combust && angularDistance < 17; - return { combust, cazimi, underBeams, angularDistance }; -} -function isOriental(bodyLon, sunLon) { - const diff = normalizeDegrees(sunLon - bodyLon); - if (diff === 0 || diff === 180) return null; - return diff > 0 && diff < 180; -} -function isOutOfBounds(declination, obliquity) { - return Math.abs(declination) > obliquity; -} -function isVoidOfCourseMoon(moonLon, moonSpeed, moonSign, otherPositions, aspectAngles) { - if (moonSpeed <= 0) return true; - const signIndex2 = [ - "Aries", - "Taurus", - "Gemini", - "Cancer", - "Leo", - "Virgo", - "Libra", - "Scorpio", - "Sagittarius", - "Capricorn", - "Aquarius", - "Pisces" - ].indexOf(moonSign); - const signEnd = (signIndex2 + 1) * 30; - for (const { longitude: otherLon } of otherPositions) { - for (const angle of aspectAngles) { - const aspectPoint1 = normalizeDegrees(otherLon - angle); - const aspectPoint2 = normalizeDegrees(otherLon + angle); - for (const aspectPoint of [aspectPoint1, aspectPoint2]) { - if (isAspectApplying2(moonLon, aspectPoint, signEnd)) { - return false; - } - } - } - } - return true; -} -function isAspectApplying2(moonLon, aspectPoint, signEnd) { - const moonToAspect = normalizeDegrees(aspectPoint - moonLon); - const moonToEnd = normalizeDegrees(signEnd - moonLon); - return moonToAspect > 0 && moonToAspect <= moonToEnd; -} -function getDayOfYear(date) { - const start = Date.UTC(date.getUTCFullYear(), 0, 1); - const diff = date.getTime() - start; - return Math.floor(diff / 864e5) + 1; -} - -// src/data/fixed-stars.ts -var precessionRate = 1.397; -var FIXED_STARS = [ - // Aries - { name: "Difda", longitude2000: 2.35, latitude: -20.87, magnitude: 2.04, nature: "Saturn" }, - { name: "Algenib", longitude2000: 9.17, latitude: 12.62, magnitude: 2.83, nature: "Mars/Mercury" }, - { name: "Alpheratz", longitude2000: 14.26, latitude: 25.67, magnitude: 2.06, nature: "Jupiter/Venus" }, - { name: "Mirach", longitude2000: 30.24, latitude: 25.56, magnitude: 2.05, nature: "Venus" }, - // Taurus - { name: "Algol", longitude2000: 26.17, latitude: 22.42, magnitude: 2.1, nature: "Saturn/Jupiter" }, - { name: "Alcyone", longitude2000: 30.07, latitude: 4.03, magnitude: 2.87, nature: "Moon/Mars" }, - { name: "Mirfak", longitude2000: 32.09, latitude: 30.02, magnitude: 1.79, nature: "Jupiter/Saturn" }, - { name: "Capella", longitude2000: 51.88, latitude: 22.93, magnitude: 0.08, nature: "Mars/Mercury" }, - { name: "Menkar", longitude2000: 14.29, latitude: -12.59, magnitude: 2.53, nature: "Saturn" }, - // Gemini - { name: "Aldebaran", longitude2000: 69.86, latitude: -5.47, magnitude: 0.85, nature: "Mars" }, - { name: "Rigel", longitude2000: 76.97, latitude: -31.08, magnitude: 0.12, nature: "Jupiter/Mars" }, - { name: "Bellatrix", longitude2000: 80.97, latitude: -16.78, magnitude: 1.64, nature: "Mars/Mercury" }, - { name: "Alnilam", longitude2000: 83.65, latitude: -24.2, magnitude: 1.7, nature: "Jupiter/Saturn" }, - { name: "Betelgeuse", longitude2000: 88.63, latitude: -16.03, magnitude: 0.58, nature: "Mars/Mercury" }, - // Cancer - { name: "Sirius", longitude2000: 104.11, latitude: -39.61, magnitude: -1.46, nature: "Jupiter/Mars" }, - { name: "Canopus", longitude2000: 104.93, latitude: -75.75, magnitude: -0.74, nature: "Saturn/Jupiter" }, - { name: "Wezen", longitude2000: 103.33, latitude: -26.28, magnitude: 1.84, nature: "Venus" }, - { name: "Aludra", longitude2000: 105.45, latitude: -24.58, magnitude: 2.45, nature: "Venus" }, - { name: "Castor", longitude2000: 110.22, latitude: 10.09, magnitude: 1.58, nature: "Mercury" }, - { name: "Pollux", longitude2000: 113.22, latitude: 6.68, magnitude: 1.14, nature: "Mars" }, - { name: "Procyon", longitude2000: 115.73, latitude: -16.01, magnitude: 0.34, nature: "Mercury/Mars" }, - // Leo - { name: "Praesepe", longitude2000: 127.27, latitude: 1.55, magnitude: 3.7, nature: "Mars/Moon" }, - { name: "Alphard", longitude2000: 147.28, latitude: -22.37, magnitude: 1.98, nature: "Saturn/Venus" }, - { name: "Regulus", longitude2000: 149.85, latitude: 0.46, magnitude: 1.35, nature: "Mars/Jupiter" }, - // Virgo - { name: "Zosma", longitude2000: 161.33, latitude: 14.38, magnitude: 2.56, nature: "Saturn/Venus" }, - { name: "Denebola", longitude2000: 171.56, latitude: 12.28, magnitude: 2.14, nature: "Saturn/Venus" }, - // Libra - { name: "Vindemiatrix", longitude2000: 189.94, latitude: 16.15, magnitude: 2.83, nature: "Saturn/Mercury" }, - { name: "Spica", longitude2000: 203.87, latitude: -2.05, magnitude: 0.97, nature: "Venus/Mars" }, - { name: "Arcturus", longitude2000: 204.22, latitude: 30.77, magnitude: -0.04, nature: "Mars/Jupiter" }, - // Scorpio - { name: "Zuben Elgenubi", longitude2000: 215.08, latitude: 0.36, magnitude: 2.75, nature: "Jupiter/Mars" }, - { name: "South Scale", longitude2000: 225.08, latitude: 0.36, magnitude: 2.75, nature: "Jupiter/Mars" }, - { name: "North Scale", longitude2000: 229.2, latitude: 8.53, magnitude: 2.61, nature: "Jupiter/Mercury" }, - { name: "Unukalhai", longitude2000: 232.1, latitude: 44.53, magnitude: 2.63, nature: "Saturn/Mars" }, - { name: "Acrab", longitude2000: 243.2, latitude: 1.02, magnitude: 2.62, nature: "Saturn/Mars" }, - { name: "Dschubba", longitude2000: 242.35, latitude: -1.98, magnitude: 2.32, nature: "Mars/Saturn" }, - // Sagittarius - { name: "Antares", longitude2000: 249.63, latitude: -4.57, magnitude: 0.96, nature: "Mars/Jupiter" }, - { name: "Lesath", longitude2000: 264.12, latitude: -13.47, magnitude: 2.69, nature: "Mercury/Mars" }, - { name: "Ras Alhague", longitude2000: 262.15, latitude: 35.84, magnitude: 2.07, nature: "Saturn/Venus" }, - { name: "Kaus Australis", longitude2000: 275.1, latitude: -11.05, magnitude: 1.85, nature: "Jupiter/Mars" }, - { name: "Nunki", longitude2000: 282.38, latitude: -3.44, magnitude: 2.02, nature: "Jupiter/Mercury" }, - // Capricorn - { name: "Vega", longitude2000: 285.28, latitude: 61.73, magnitude: 0.03, nature: "Venus/Mercury" }, - { name: "Terebellum", longitude2000: 295.87, latitude: -3.27, magnitude: 4.5, nature: "Venus/Saturn" }, - { name: "Toliman", longitude2000: 209.22, latitude: -42.57, magnitude: -0.01, nature: "Venus/Jupiter" }, - { name: "Agena", longitude2000: 213.91, latitude: -21.54, magnitude: 0.61, nature: "Venus/Jupiter" }, - // Aquarius - { name: "Altair", longitude2000: 301.53, latitude: 29.31, magnitude: 0.77, nature: "Mars/Jupiter" }, - { name: "Sadalmelik", longitude2000: 313.44, latitude: -0.44, magnitude: 2.96, nature: "Saturn/Mercury" }, - { name: "Sadalsuud", longitude2000: 323.4, latitude: -8.49, magnitude: 2.91, nature: "Saturn/Mercury" }, - { name: "Deneb Algedi", longitude2000: 323.48, latitude: -2.6, magnitude: 2.87, nature: "Saturn/Jupiter" }, - // Pisces - { name: "Fomalhaut", longitude2000: 333.87, latitude: -21.09, magnitude: 1.16, nature: "Venus/Mercury" }, - { name: "Deneb", longitude2000: 335.3, latitude: 59.97, magnitude: 1.25, nature: "Venus/Mercury" }, - { name: "Achernar", longitude2000: 345.3, latitude: -53.54, magnitude: 0.46, nature: "Jupiter" }, - { name: "Markab", longitude2000: 353.48, latitude: 19.43, magnitude: 2.49, nature: "Mars/Mercury" }, - { name: "Scheat", longitude2000: 359.37, latitude: 31.21, magnitude: 2.42, nature: "Mars/Mercury" } -]; -function precessStar(star, T) { - return ((star.longitude2000 + precessionRate * T) % 360 + 360) % 360; -} -function findFixedStarConjunctions(bodyLongitude, bodyName, T, orb = 1) { - const results = []; - for (const star of FIXED_STARS) { - const starLon = precessStar(star, T); - let diff = bodyLongitude - starLon; - if (diff > 180) diff -= 360; - if (diff < -180) diff += 360; - if (Math.abs(diff) <= orb) { - results.push({ star: star.name, body: bodyName, orb: diff }); - } - } - results.sort((a, b) => Math.abs(a.orb) - Math.abs(b.orb)); - return results; -} - -// src/data/sabian-symbols.ts -var SABIAN_SYMBOLS = [ - // ——— Aries 1°–30° (indices 0–29) ——— - "A woman just risen from the sea; a seal is embracing her", - "A comedian reveals human nature", - "A cameo profile of a man in the outline of his country", - "Two lovers strolling on a secluded walk", - "A triangle with wings", - "A square brightly lighted on one side", - "A man succeeding in expressing himself simultaneously in two realms", - "A large woman's hat with streamers blown by an east wind", - "A crystal gazer", - "A teacher gives new symbolic forms to traditional images", - "The president of the country", - "A flock of wild geese", - "A bomb which failed to explode is now safely concealed", - "A serpent coiling near a man and a woman", - "An Indian weaving a blanket", - "Brownies dancing in the setting sun", - "Two prim spinsters sitting together in silence", - "An empty hammock stretched between two trees", - "The magic carpet of Oriental imagery", - "A young girl feeding birds in winter", - "A pugilist enters the ring", - "The gate to the garden of all fulfilled desires", - "A pregnant woman in light summer dress", - "An open window and a net curtain blowing into a cornucopia", - "A double promise reveals its inner and outer meanings", - "A man possessed of more gifts than he can hold", - "Through imagination a lost opportunity is regained", - "A large audience confronts the performer who disappointed its expectations", - "The music of the spheres", - "A duck pond and its brood", - // ——— Taurus 1°–30° (indices 30–59) ——— - "A clear mountain stream", - "An electrical storm", - "Steps up to a lawn blooming with clover", - "The rainbow's pot of gold", - "A widow at an open grave", - "A bridge over a beautiful stream in a canyon", - "A woman of Samaria at the ancestral well", - "A sleigh on land uncovered by snow", - "A fully decorated Christmas tree", - "A Red Cross nurse", - "A woman watering flowers in her garden", - "A young couple window-shopping", - "A porter carrying heavy baggage", - "On the beach, children play while shellfish grope at the edge of the water", - "A man with a rakish silk hat, muffled against the cold, braves a storm", - "An old man vainly trying to reveal the Mysteries", - "A symbolical battle between swords and torches", - "A woman holding a bag out of a window", - "A new continent rising out of the ocean", - "Wisps of winglike clouds streaming across the sky", - "A finger pointing to a line in an open book", - "White dove flying over troubled waters", - "A jewelry shop filled with valuable gems", - "An Indian warrior riding fiercely, human scalps hanging at his belt", - "A large well-kept public park", - "A Spaniard serenading his senorita", - "An old Indian woman selling the artifacts of her tribe to passers-by", - "A woman in middle life stands in rapt sudden realization of forgotten charms, in unexpected recovery of romance", - "Two cobblers working at a table", - "A peacock parading on the terrace of an old castle", - // ——— Gemini 1°–30° (indices 60–89) ——— - "A glass-bottomed boat reveals undersea wonders", - "Santa Claus furtively filling stockings hanging in front of the fireplace", - "The garden of the Tuileries in Paris", - "Holly and mistletoe reawaken old memories of Christmas", - "A radical magazine or publication displaying a strong propaganda", - "Workmen drilling for oil", - "A well with bucket and rope under the shade of majestic trees", - "Aroused strikers surround a factory", - "A quiver filled with arrows", - "An airplane performing a nose dive", - "Newly opened lands offer the pioneer new opportunities for experience", - "A Negro girl fights for her independence in the city", - "A great musician at his piano", - "Bridging physical space and social distinctions, two men communicate telepathically", - "Two Dutch children talking to each other, exchanging their knowledge", - "A woman activist in an emotional speech dramatizing her cause", - "The head of a robust youth changes into that of a mature thinker", - "Two Chinese men conversing in their native tongue in an American city", - "A large archaic volume reveals a traditional wisdom", - "A cafeteria with an abundance of choices", - "A tumultuous labor demonstration", - "Dancing couples in a harvest festival", - "Three fledglings in a nest high in a tree", - "Children skating over a frozen village pond", - "A gardener trimming large palm trees", - "Frost-covered trees against winter skies", - "A gypsy emerging from the forest wherein her tribe is encamped", - "Society granting bankruptcy to him, a man leaves the court with mixed feelings", - "The first mockingbird of spring sings from the treetop", - "Bathing beauties", - // ——— Cancer 1°–30° (indices 90–119) ——— - "On a ship the sailors lower an old flag and raise a new one", - "A man on a magic carpet hovers over a large area of land", - "A man bundled in fur leads a shaggy deer", - "A cat arguing with a mouse", - "An automobile wrecked by a train", - "Game birds feathering their nests", - "Two nature spirits dancing under the moonlight", - "A group of rabbits dressed in human clothes walk as if on parade", - "A small, naked girl bends over a pond trying to catch a fish", - "A large diamond in the first stages of the cutting process", - "A clown caricaturing well-known personalities", - "A Chinese woman nursing a baby whose aura reveals him to be the reincarnation of a great teacher", - "A hand with a prominent thumb is held out receptively", - "A very old man facing a vast dark space to the northeast", - "In a sumptuous dining hall guests relax after partaking of a huge banquet", - "A man studying a mandala in front of him, with the help of a very ancient book", - "The unfoldment of multilevel potentialities issuing from an original germ", - "A hen scratching the ground to find nourishment for her progeny", - "A priest performing a marriage ceremony", - "Venetian gondoliers giving a serenade", - "A famous singer is proving her virtuosity during an operatic performance", - "A young woman awaiting a sailboat", - "The meeting of a literary society", - "A woman and two men castaways on a small island of the South Seas", - "A will-o'-the-wisp-like phosphorescence crowning the dark shadow of a mantle thrown over the right shoulder", - "Guests are reading in the library of a luxurious home", - "A violent storm in a canyon filled with expensive homes", - "A modern Pocahontas", - "A Greek muse weighing newborn twins in golden scales", - "A Daughter of the American Revolution", - // ——— Leo 1°–30° (indices 120–149) ——— - "Blood rushes to a man's head as his vital energies are mobilized under the spur of ambition", - "An epidemic of mumps", - "A middle-aged woman, her long hair flowing over her shoulders and in a braless youthful garment", - "A formally dressed elderly man stands near trophies he brought back from a hunting expedition", - "Rock formations tower over a deep canyon", - "An old-fashioned conservative woman is confronted by a modern girl", - "The constellations of stars shine brilliantly in the night sky", - "A communist activist spreading his revolutionary ideals", - "Glass blowers shape beautiful vases with their controlled breathing", - "Early morning dew sparkles as sunlight floods the field", - "Children play on a swing hanging from the branches of a huge oak tree", - "An evening party of adults on a lawn illuminated by fancy lanterns", - "An old sea captain rocking himself on the porch of his cottage", - "A human soul seeking opportunities for outward manifestation", - "A pageant, with its spectacular floats, moves along a street crowded with cheering people", - "The storm ended, all nature rejoices in brilliant sunshine", - "A voluntary church choir singing religious hymns", - "A chemist conducts an experiment for his students", - "A houseboat party", - "Zuni Indians perform a ritual to the sun", - "Intoxicated chickens dizzily flap their wings trying to fly", - "A carrier pigeon fulfilling its mission", - "In a circus the bareback rider displays her dangerous skill", - "Totally concentrated upon inner spiritual attainment, a man is sitting in a state of complete neglect of bodily appearance and cleanliness", - "A large camel is seen crossing a vast and forbidding desert", - "After the heavy storm, a rainbow", - "The luminescence of dawn in the eastern sky", - "Many little birds on a limb of a big tree", - "A mermaid emerges from the ocean waves ready for rebirth in human form", - "An unsealed letter", - // ——— Virgo 1°–30° (indices 150–179) ——— - "In a portrait, the best of a man's traits and character are idealized", - "A large white cross dominates the landscape", - "Two guardian angels", - "Black and white children play together happily", - "A man becoming aware of nature spirits and normally combative elfin creatures", - "A merry-go-round", - "A harem", - "A five-year-old child takes a first dancing lesson", - "An expressionist painter making a futuristic drawing", - "Two heads looking out and beyond the shadows", - "In her baby a mother sees her deep longing for a son answered", - "After the wedding, the groom snatches the veil away from his bride", - "A powerful statesman overcomes a state of political hysteria", - "An aristocratic family tree", - "A fine lace ornamental handkerchief", - "In the zoo, children are brought face to face with an orangutan", - "A volcanic eruption", - "A Ouija board", - "A swimming race", - "A carpool of men and women working downtown", - "A girls' basketball team", - "A royal coat of arms enriched with precious stones", - "A lion tamer displays his skill and character", - "Mary and her little white lamb", - "A flag at half-mast in front of a large public building", - "A boy with a censer serves the priest near the altar", - "A group of aristocratic ladies meet ceremoniously", - "A bald-headed man who has seized power", - "A seeker after occult knowledge is reading an ancient scroll which illumines his mind", - "Having an urgent task to complete, a man does not look to any distractions", - // ——— Libra 1°–30° (indices 180–209) ——— - "In a collection of perfect specimens of many biological forms, a butterfly displays the beauty of its wings, its body impaled by a fine dart", - "The transmutation of the fruits of past experiences into the seed-realizations of the forever creative spirit", - "The dawn of a new day reveals everything changed", - "Around a campfire a group of young people sit in spiritual communion", - "A man revealing to his students the foundation of an inner knowledge of the new world", - "The ideals of a man abundantly crystallized", - "A woman feeding chickens and protecting them from the hawks", - "A blazing fireplace in a deserted home", - "Three old masters hanging on the wall of a special room in an art gallery", - "Having passed through narrow rapids, a canoe reaches calm waters", - "A professor peering over his glasses at his students", - "Miners are surfacing from a deep coal mine", - "Children blowing soap bubbles", - "In the heat of the noon hour a man takes a siesta", - "Circular paths", - "After a storm a boat landing stands in need of reconstruction", - "A retired sea captain watches ships entering and leaving the harbor", - "Two men placed under arrest", - "A gang of robbers in hiding", - "A Jewish rabbi performing his duties", - "A crowd upon a beach", - "A child giving birds a drink at a fountain", - "A chanticleer's voice heralds the sunrise", - "A butterfly with a third wing on its left side", - "The sight of an autumn leaf brings to a pilgrim the sudden revelation of the mystery of life and death", - "An eagle and a large white dove change into each other", - "An airplane sails high in the bright clear sky", - "A man becoming aware of spiritual forces surrounding and assisting him", - "Humanity seeking to bridge the span of knowledge", - "Three mounds of knowledge on a philosopher's head", - // ——— Scorpio 1°–30° (indices 210–239) ——— - "A sightseeing bus filled with tourists", - "A broken bottle and spilled perfume", - "A house-raising party in a small village enlists the cooperation of neighbors", - "A youth holds a lighted candle in a devotional ritual", - "A massive, rocky shore resists the pounding of the sea", - "A gold rush tears men away from their native soil", - "Deep-sea divers", - "The moon shining across a lake", - "A dentist at work", - "A fellowship supper reunites old comrades", - "A drowning man is being rescued", - "An embassy ball", - "An inventor performs a laboratory experiment", - "Telephone linemen at work installing new connections", - "Children playing around five mounds of sand", - "A girl's face breaking into a smile", - 'A woman, fecundated by her own spirit, is "great with child"', - "A path through woods brilliant in multicolored autumn foliage", - "A parrot repeats the conversation he has overheard", - "A woman draws away two dark curtains closing the entrance to a sacred pathway", - "Obeying his conscience, a soldier resists orders", - "Hunters shooting wild ducks", - "A rabbit metamorphoses into a nature spirit", - 'After having heard an inspired individual deliver his "sermon on the mount," crowds are returning home', - "An X-ray photograph", - "Indians making camp after moving into a new territory", - "A military band marches noisily on through the city streets", - "The king of the fairies approaching his domain", - "An Indian squaw pleading with the chief for the lives of her children", - "Children in Halloween costumes indulge in various pranks", - // ——— Sagittarius 1°–30° (indices 240–269) ——— - "Retired army veterans gather to reawaken old memories", - "The ocean covered with whitecaps", - "Two men playing chess", - "A little child learning to walk with the encouragement of his parents", - "An old owl sits alone on the limb of a large tree", - "A game of cricket", - "Cupid knocking at the door of a human heart", - "Within the depths of the earth new elements are being formed", - "A mother leads her small child step by step up a steep stairway", - "A golden-haired goddess of opportunity", - "In the left section of an archaic temple, a lamp burns in a container shaped like a human body", - "A flag that turns into an eagle; the eagle into a chanticleer saluting the dawn", - "A widow's past is brought to light", - "The Great Pyramid and the Sphinx", - "The groundhog looking for its shadow on Groundhog Day", - "Sea gulls fly around a ship in expectation of food", - "An Easter sunrise service draws a large crowd", - "Tiny children in sunbonnets", - "Pelicans, menaced by the behavior and refuse of men, seek safer areas for bringing up their young", - "In an old-fashioned northern village, men cut ice from a frozen pond for use during the summer", - "A child and a dog wearing borrowed eyeglasses", - "A Chinese laundry", - "A group of immigrants as they fulfill the requirements of entrance into the new country", - "A bluebird perched on the gate of a cottage", - "A chubby boy on a hobby horse", - "A flag bearer in a battle", - "A sculptor at his work", - "An old bridge over a beautiful stream is still in constant use", - "A fat boy mowing the lawn of his house on an elegant suburban street", - "The Pope, blessing the faithful", - // ——— Capricorn 1°–30° (indices 270–299) ——— - "An Indian chief claims power from the assembled tribe", - "Three rose windows in a Gothic church, one damaged by war", - "A human soul, in its eagerness for new experiences, seeks embodiment", - "A group of people outfitting a large canoe at the start of a journey by water", - "Indians on the warpath; while some men row a well-filled canoe, others in it perform a war dance", - "Ten logs lie under an archway leading to darker woods", - "A veiled prophet speaks, seized by the power of a god", - "In a sun-lit home domesticated birds sing joyfully", - "An angel carrying a harp", - "An albatross feeding from the hand of a sailor", - "A large group of pheasant on a private estate", - "An illustrated lecture on natural science reveals little-known aspects of life", - "A fire worshipper meditates on the ultimate realities of existence", - "An ancient bas-relief carved in granite remains a witness to a long-forgotten culture", - "In a hospital, the children's ward is filled with toys", - "School grounds filled with boys and girls in gymnasium suits", - "A repressed woman finds a psychological release in nudism", - "The Union Jack flag flies from a British warship", - "A five-year-old child carrying a bag filled with groceries", - "A hidden choir is singing during a religious service", - "A relay race", - "By accepting defeat gracefully, a general reveals nobility of character", - "A soldier receiving two awards for bravery in combat", - "A woman entering a convent", - "An Oriental rug dealer in a store filled with precious ornamental rugs", - "A nature spirit dancing in the iridescent mist of a waterfall", - "Pilgrims climbing the steep steps leading to a mountaintop shrine", - "A large aviary", - "A woman reading tea leaves", - "A secret meeting of men responsible for executive decisions in world affairs", - // ——— Aquarius 1°–30° (indices 300–329) ——— - "An old adobe mission in California", - "An unexpected thunderstorm", - "A deserter from the Navy", - "A Hindu healer glows with a mystic healing power", - "A council of ancestors is seen implementing the efforts of a young leader", - "A masked figure performs ritualistic acts in a mystery play", - "A child is seen being born out of an egg", - "Beautifully gowned wax figures on display", - "A flag is seen turning into an eagle", - "A popularity that proves to be fleeting is shown to be based on a sham", - "During a silent hour, a man receives a new inspiration which may change his life", - "On a vast staircase stand people of different types, graduated upward", - "A barometer", - "A train entering a tunnel", - "Two lovebirds sitting on a fence and singing happily", - "A big businessman at his desk", - "A watchdog stands guard, protecting his master and his possessions", - "A man's secret motives are being publicly unmasked", - "A forest fire is being subdued by the use of water, chemicals, and sheer muscle power", - "A large white dove bearing a message", - "A disappointed and disillusioned woman courageously faces a seemingly empty life", - "A rug is placed on the floor of a nursery to allow children to play in comfort and warmth", - "A big bear sitting down and waving all its paws", - "A man, having overcome his passions, teaches deep wisdom in terms of his experience", - "A butterfly with the right wing more perfectly formed", - "A garage man testing a car's battery with a hydrometer", - "An ancient pottery bowl filled with fresh violets", - "A tree felled and sawed to ensure a supply of wood for the winter", - "A butterfly emerging from a chrysalis", - "Deeply rooted in the past of a very ancient culture, a spiritual brotherhood in which many individual minds are merged into the glowing light of a unanimous consciousness is revealed to one who has emerged successfully from his metamorphosis", - // ——— Pisces 1°–30° (indices 330–359) ——— - "In a crowded marketplace farmers and middlemen display a great variety of products", - "A squirrel hiding from hunters", - "A petrified forest", - "Heavy car traffic on a narrow isthmus linking two seashore resorts", - "A church bazaar", - "A parade of army officers in full dress", - "Illumined by a shaft of light, a large cross lies on rocks surrounded by sea mist", - "A girl blowing a bugle", - "A jockey spurs his horse, intent on outdistancing his rivals", - "An aviator pursues his journey, flying through ground-obscuring clouds", - "Men traveling a narrow path, seeking illumination", - "In the sanctuary of an occult brotherhood, newly initiated members are being examined and their character tested", - "An ancient sword, used in many battles, is displayed in a museum", - "A lady wrapped in a large stole of fox fur", - "An officer instructing his men before a simulated assault under a barrage of live shells", - "In the quiet of his study a creative individual experiences a flow of inspiration", - "An Easter promenade", - "In a huge tent a famous revivalist conducts his meeting with a spectacular performance", - "A master instructing his disciple", - "A table set for an evening meal", - "Under the watchful and nurturing eye of a Chinese servant, a girl baby is being cared for", - "A prophet carrying tablets of the new law is walking down the slopes of Mount Sinai", - 'A "materializing" medium giving a seance', - "On a small island surrounded by the vast expanse of the sea, people are seen living in close interaction", - "A religious organization succeeds in overcoming the corrupting influence of perverted practices and materialized ideals", - "Watching the very thin moon crescent appearing at sunset, different people realize that the time has come to go ahead with their different projects", - "The harvest moon illumines a clear autumnal sky", - "A fertile garden under the full moon reveals a variety of full-grown vegetables", - "Light breaking into many colors as it passes through a prism", - "A majestic rock formation resembling a face is idealized by a boy who takes it as his ideal of greatness, and as he grows up, begins to look like it" -]; -function getSabianSymbol(longitude) { - const norm = (longitude % 360 + 360) % 360; - const degreeIndex = norm === 0 ? 0 : Math.ceil(norm) - 1; - return SABIAN_SYMBOLS[degreeIndex] ?? ""; -} - -// src/western-lunar-mansions.ts -var WESTERN_LUNAR_MANSIONS = [ - { number: 1, name: "Al Sharatain", startDegree: 0 }, - { number: 2, name: "Al Butain", startDegree: 360 / 28 * 1 }, - { number: 3, name: "Al Thurayya", startDegree: 360 / 28 * 2 }, - { number: 4, name: "Al Dabaran", startDegree: 360 / 28 * 3 }, - { number: 5, name: "Al Haq'a", startDegree: 360 / 28 * 4 }, - { number: 6, name: "Al Han'a", startDegree: 360 / 28 * 5 }, - { number: 7, name: "Al Dhira", startDegree: 360 / 28 * 6 }, - { number: 8, name: "Al Nathrah", startDegree: 360 / 28 * 7 }, - { number: 9, name: "Al Tarf", startDegree: 360 / 28 * 8 }, - { number: 10, name: "Al Jabhah", startDegree: 360 / 28 * 9 }, - { number: 11, name: "Al Zubrah", startDegree: 360 / 28 * 10 }, - { number: 12, name: "Al Sarfah", startDegree: 360 / 28 * 11 }, - { number: 13, name: "Al Awwa", startDegree: 360 / 28 * 12 }, - { number: 14, name: "Al Simak", startDegree: 360 / 28 * 13 }, - { number: 15, name: "Al Ghafr", startDegree: 360 / 28 * 14 }, - { number: 16, name: "Al Jubana", startDegree: 360 / 28 * 15 }, - { number: 17, name: "Al Iklil", startDegree: 360 / 28 * 16 }, - { number: 18, name: "Al Qalb", startDegree: 360 / 28 * 17 }, - { number: 19, name: "Al Shaulah", startDegree: 360 / 28 * 18 }, - { number: 20, name: "Al Na'am", startDegree: 360 / 28 * 19 }, - { number: 21, name: "Al Baldah", startDegree: 360 / 28 * 20 }, - { number: 22, name: "Sa'd al Dhabih", startDegree: 360 / 28 * 21 }, - { number: 23, name: "Sa'd Bula", startDegree: 360 / 28 * 22 }, - { number: 24, name: "Sa'd al Su'ud", startDegree: 360 / 28 * 23 }, - { number: 25, name: "Sa'd al Akhbiyah", startDegree: 360 / 28 * 24 }, - { number: 26, name: "Al Fargh al Mukdim", startDegree: 360 / 28 * 25 }, - { number: 27, name: "Al Fargh al Thani", startDegree: 360 / 28 * 26 }, - { number: 28, name: "Batn al Hut", startDegree: 360 / 28 * 27 } -]; -function getWesternLunarMansion(longitude) { - const norm = (longitude % 360 + 360) % 360; - const mansionSpan = 360 / 28; - const index = Math.floor(norm / mansionSpan); - const mansion = WESTERN_LUNAR_MANSIONS[index >= 28 ? 0 : index]; - return { number: mansion.number, name: mansion.name }; -} - -// src/time-lords.ts -var CHALDEAN_ORDER3 = ["Saturn", "Jupiter", "Mars", "Sun", "Venus", "Mercury", "Moon"]; -var DAY_FIRDARIA = [ - { ruler: "Sun", years: 10 }, - { ruler: "Moon", years: 9 }, - { ruler: "NNode", years: 3 }, - { ruler: "Jupiter", years: 12 }, - { ruler: "Mercury", years: 13 }, - { ruler: "Saturn", years: 11 }, - { ruler: "SNode", years: 2 }, - { ruler: "Venus", years: 8 }, - { ruler: "Mars", years: 7 } -]; -var NIGHT_FIRDARIA = [ - { ruler: "Moon", years: 9 }, - { ruler: "Sun", years: 10 }, - { ruler: "SNode", years: 2 }, - { ruler: "Jupiter", years: 12 }, - { ruler: "Mercury", years: 13 }, - { ruler: "Saturn", years: 11 }, - { ruler: "NNode", years: 3 }, - { ruler: "Venus", years: 8 }, - { ruler: "Mars", years: 7 } -]; -function findSubRuler(mainRuler, fractionInPeriod) { - let startIdx = CHALDEAN_ORDER3.indexOf(mainRuler); - if (startIdx === -1) startIdx = 0; - const subIndex = Math.floor(fractionInPeriod * 7); - const clampedIndex = Math.min(subIndex, 6); - return CHALDEAN_ORDER3[(startIdx + clampedIndex) % 7]; -} -function computeFirdaria(birthDate, isDayChart2, queryDate) { - const msPerYear = 365.25 * 24 * 60 * 60 * 1e3; - const totalElapsed = (queryDate.getTime() - birthDate.getTime()) / msPerYear; - let elapsed = totalElapsed % 75; - if (elapsed < 0) elapsed += 75; - const sequence = isDayChart2 ? DAY_FIRDARIA : NIGHT_FIRDARIA; - let accumulated = 0; - for (const period of sequence) { - if (elapsed < accumulated + period.years) { - const yearsIntoPeriod = elapsed - accumulated; - const fractionInPeriod = yearsIntoPeriod / period.years; - const subRuler = findSubRuler(period.ruler, fractionInPeriod); - const startDate = new Date(birthDate.getTime() + accumulated * msPerYear); - const endDate = new Date(birthDate.getTime() + (accumulated + period.years) * msPerYear); - return { ruler: period.ruler, subRuler, startDate, endDate }; - } - accumulated += period.years; - } - const last = sequence[sequence.length - 1]; - return { - ruler: last.ruler, - subRuler: findSubRuler(last.ruler, 0), - startDate: new Date(birthDate.getTime() + (75 - last.years) * msPerYear), - endDate: new Date(birthDate.getTime() + 75 * msPerYear) - }; -} -function computeProfection(birthDate, queryDate, natalAsc) { - const msPerYear = 365.25 * 24 * 60 * 60 * 1e3; - const age = Math.floor((queryDate.getTime() - birthDate.getTime()) / msPerYear); - const house = age % 12 + 1; - const profectedLon = normalizeDegrees(natalAsc + age * 30); - const { sign } = getZodiacSign(profectedLon); - const lord = SIGN_RULER[sign]; - return { sign, lord, house }; -} -function jdeToDate(jde) { - return new Date((jde - 24405875e-1) * 864e5); -} -function findPrenatalSyzygy(birthDate) { - const jdBirth = birthDate.getTime() / 864e5 + 24405875e-1; - let k = Math.floor((jdBirth - 24515501e-1) / 29.530588861); - let nmJDE = newMoonJDE(k); - if (nmJDE >= jdBirth) { - k--; - nmJDE = newMoonJDE(k); - } - const fmJDE = fullMoonJDE(k); - if (fmJDE > nmJDE && fmJDE < jdBirth) { - const date2 = jdeToDate(fmJDE); - const longitude2 = getSunLongitude(date2); - return { type: "full", date: date2, longitude: longitude2 }; - } - const date = jdeToDate(nmJDE); - const longitude = getSunLongitude(date); - return { type: "new", date, longitude }; -} -var HYLEGICAL_PLACES = [1, 7, 9, 10, 11]; -function findHyleg(positions, isDayChart2) { - const preferenceOrder = isDayChart2 ? ["Sun", "Moon", "ASC"] : ["Moon", "Sun", "ASC"]; - for (const body of preferenceOrder) { - const pos = positions.find((p) => p.body === body); - if (pos && HYLEGICAL_PLACES.includes(pos.house)) { - return body; - } - } - return null; -} -var TRADITIONAL_PLANETS = ["Sun", "Moon", "Mercury", "Venus", "Mars", "Jupiter", "Saturn"]; -function findAlcochoden(hylegSign, hylegDegree, isDayChart2) { - let bestBody = null; - let bestScore = 0; - for (const body of TRADITIONAL_PLANETS) { - const result = getExtendedDignity(body, hylegSign, hylegDegree, isDayChart2); - if (result.score > bestScore) { - bestScore = result.score; - bestBody = body; - } - } - return bestBody; -} - -// src/research/extended-speed.ts -var AVERAGE_SPEEDS = { - Sun: 0.986, - Moon: 13.176, - Mercury: 1.383, - Venus: 1.2, - Mars: 0.524, - Jupiter: 0.083, - Saturn: 0.034, - Uranus: 0.012, - Neptune: 6e-3, - Pluto: 4e-3 -}; -function computeLinearSpeed(date, getValue, dt = 36e5) { - const t = date.getTime(); - const before = new Date(t - dt); - const after = new Date(t + dt); - const diff = getValue(after) - getValue(before); - const dtDays = 2 * dt / 864e5; - return diff / dtDays; -} -function computeExtendedSpeed(body, longitudeSpeed, latitudeSpeed, distanceSpeed) { - const avg = AVERAGE_SPEEDS[body]; - const relativeSpeed = avg ? Math.abs(longitudeSpeed) / avg : 0; - return { - latitudeSpeed, - distanceSpeed, - relativeSpeed, - fast: relativeSpeed > 1 - }; -} - -// src/research/speculum.ts -var DEG3 = Math.PI / 180; -var RAD = 180 / Math.PI; -function computeSpeculumEntry(ra, dec, lat, ramc, aboveHorizon) { - const tanProduct = Math.tan(dec * DEG3) * Math.tan(lat * DEG3); - const ad = Math.asin(Math.max(-1, Math.min(1, tanProduct))) * RAD; - const oa = ra - ad; - const od = ra + ad; - const dsa = 90 + ad; - const nsa = 90 - ad; - let md = Math.abs(ra - ramc) % 360; - if (md > 180) md = 360 - md; - const sa = aboveHorizon ? dsa : nsa; - let umd = (ra - ramc) % 360; - if (umd < 0) umd += 360; - const hd = sa - md; - const temporalHour = sa / 6; - const sinMD = Math.sin(md * DEG3); - const tanLat = Math.tan(lat * DEG3); - const pole = sa !== 0 ? Math.atan(sinMD * tanLat / (sa * DEG3)) * RAD : 0; - const poleCorrected = sa !== 0 ? Math.atan(sinMD * tanLat / sa) * RAD : 0; - return { - ad, - oa, - od, - md, - dsa, - nsa, - sa, - umd, - hd, - temporalHour, - pole: poleCorrected - }; -} - -// src/research/ninety-degree-dial.ts -function toDial90(longitude) { - return normalizeDegrees(longitude) % 90; -} - -// src/research/midpoints.ts -var DEFAULT_MIDPOINT_ORB = 1.5; -function shortArcMidpoint(lon1, lon2) { - const a = normalizeDegrees(lon1); - const b = normalizeDegrees(lon2); - let diff = b - a; - if (diff > 180) diff -= 360; - if (diff < -180) diff += 360; - return normalizeDegrees(a + diff / 2); -} -function computeMidpoints(bodies) { - const midpoints = []; - for (let i = 0; i < bodies.length; i++) { - for (let j = i + 1; j < bodies.length; j++) { - const lon = shortArcMidpoint(bodies[i].longitude, bodies[j].longitude); - const { sign, degree } = getZodiacSign(lon); - midpoints.push({ - body1: bodies[i].body, - body2: bodies[j].body, - longitude: lon, - dial90: toDial90(lon), - sign, - signDegree: degree - }); - } - } - midpoints.sort((a, b) => a.longitude - b.longitude); - return midpoints; -} -function findMidpointStructures(bodies, midpoints, orb = DEFAULT_MIDPOINT_ORB) { - const structures = []; - for (const mp of midpoints) { - for (const body of bodies) { - if (body.body === mp.body1 || body.body === mp.body2) continue; - let diff = Math.abs(normalizeDegrees(body.longitude) - mp.longitude); - if (diff > 180) diff = 360 - diff; - let diff180 = Math.abs(normalizeDegrees(body.longitude) - normalizeDegrees(mp.longitude + 180)); - if (diff180 > 180) diff180 = 360 - diff180; - const minDiff = Math.min(diff, diff180); - if (minDiff <= orb) { - structures.push({ - body: body.body, - body1: mp.body1, - body2: mp.body2, - orb: minDiff - }); - } - } - } - structures.sort((a, b) => a.orb - b.orb); - return structures; -} - -// src/research/gauquelin.ts -function computeGauquelinSector(ra, ramc, dsa, nsa) { - const H = normalizeDegrees(ramc - ra); - const risingH = normalizeDegrees(360 - dsa); - let hFromRise = normalizeDegrees(H - risingH); - const q1End = dsa; - const q2End = 2 * dsa; - const q3End = 2 * dsa + nsa; - let sector; - if (hFromRise < q1End) { - const fraction = dsa > 0 ? hFromRise / dsa : 0; - sector = Math.floor(fraction * 9) + 1; - } else if (hFromRise < q2End) { - const fraction = dsa > 0 ? (hFromRise - q1End) / dsa : 0; - sector = Math.floor(fraction * 9) + 10; - } else if (hFromRise < q3End) { - const fraction = nsa > 0 ? (hFromRise - q2End) / nsa : 0; - sector = Math.floor(fraction * 9) + 19; - } else { - const fraction = nsa > 0 ? (hFromRise - q3End) / nsa : 0; - sector = Math.floor(fraction * 9) + 28; - } - if (sector < 1) sector = 1; - if (sector > 36) sector = 36; - return sector; -} -function isGauquelinPlusZone(sector) { - return sector >= 1 && sector <= 3 || sector >= 10 && sector <= 12; -} - -// src/research/accidental-dignity.ts -var TRADITIONAL_PLANETS2 = ["Sun", "Moon", "Mercury", "Venus", "Mars", "Jupiter", "Saturn"]; -var SUPERIOR_PLANETS = /* @__PURE__ */ new Set(["Mars", "Jupiter", "Saturn"]); -var INFERIOR_PLANETS = /* @__PURE__ */ new Set(["Mercury", "Venus"]); -var ANGULAR_HOUSES = /* @__PURE__ */ new Set([1, 4, 7, 10]); -var SUCCEDENT_HOUSES = /* @__PURE__ */ new Set([2, 5, 8, 11]); -function computeAccidentalDignity(pos, relativeSpeed) { - let score = 0; - if (ANGULAR_HOUSES.has(pos.house)) score += 5; - else if (SUCCEDENT_HOUSES.has(pos.house)) score += 3; - else score -= 5; - if (pos.stationary) { - score -= 2; - } else if (pos.retrograde) { - score -= 5; - } else { - score += 4; - } - if (relativeSpeed > 1) score += 2; - else if (relativeSpeed > 0) score -= 2; - if (pos.cazimi) score += 5; - else if (pos.combust) score -= 5; - else if (pos.underBeams) score -= 4; - if (SUPERIOR_PLANETS.has(pos.body) && pos.oriental === true) score += 2; - if (INFERIOR_PLANETS.has(pos.body) && pos.oriental === false) score += 2; - return score; -} -function computeAlmutenFiguris(hylegicalDegrees, isDayChart2) { - const scores = {}; - for (const planet of TRADITIONAL_PLANETS2) { - scores[planet] = 0; - } - for (const longitude of hylegicalDegrees) { - const { sign, degree } = getZodiacSign(longitude); - for (const planet of TRADITIONAL_PLANETS2) { - const dignity = getExtendedDignity(planet, sign, degree, isDayChart2); - const positiveScore = dignity.dignities.filter((d) => d !== "detriment" && d !== "fall").reduce((sum, d) => { - const pts = { - rulership: 5, - exaltation: 4, - triplicity: 3, - term: 2, - face: 1 - }; - return sum + (pts[d] ?? 0); - }, 0); - scores[planet] += positiveScore; - } - } - let best = null; - let bestScore = 0; - for (const planet of TRADITIONAL_PLANETS2) { - if (scores[planet] > bestScore) { - bestScore = scores[planet]; - best = planet; - } - } - return best; -} - -// src/research/classical-conditions.ts -var DIURNAL_PLANETS = /* @__PURE__ */ new Set(["Sun", "Jupiter", "Saturn"]); -var NOCTURNAL_PLANETS = /* @__PURE__ */ new Set(["Moon", "Venus", "Mars"]); -function getPlanetSect(body, oriental) { - if (DIURNAL_PLANETS.has(body)) return "diurnal"; - if (NOCTURNAL_PLANETS.has(body)) return "nocturnal"; - if (body === "Mercury") { - if (oriental === true) return "diurnal"; - if (oriental === false) return "nocturnal"; - } - return null; -} -function isHayz(body, isDayChart2, aboveHorizon, polarity, oriental) { - const sect = getPlanetSect(body, oriental); - if (!sect) return false; - const chartSect = isDayChart2 ? "diurnal" : "nocturnal"; - if (sect !== chartSect) return false; - const correctHemisphere = isDayChart2 ? aboveHorizon : !aboveHorizon; - if (!correctHemisphere) return false; - const correctGender = sect === "diurnal" ? polarity === "positive" : polarity === "negative"; - return correctGender; -} -function isHalb(body, isDayChart2, aboveHorizon, polarity, oriental) { - const sect = getPlanetSect(body, oriental); - if (!sect) return false; - const chartSect = isDayChart2 ? "diurnal" : "nocturnal"; - if (sect !== chartSect) return false; - if (isHayz(body, isDayChart2, aboveHorizon, polarity, oriental)) return false; - return true; -} -var MALEFICS = /* @__PURE__ */ new Set(["Mars", "Saturn"]); -var BENEFICS = /* @__PURE__ */ new Set(["Venus", "Jupiter"]); -function isBesieged(body, bodyLongitude, allPositions) { - if (MALEFICS.has(body)) return false; - const maleficLongs = allPositions.filter((p) => MALEFICS.has(p.body)).map((p) => p.longitude); - if (maleficLongs.length < 2) return false; - let nearestBefore = null; - let nearestBeforeDist = 360; - let nearestAfter = null; - let nearestAfterDist = 360; - for (const ml of maleficLongs) { - let distBefore = (bodyLongitude - ml + 360) % 360; - if (distBefore === 0) distBefore = 360; - if (distBefore < nearestBeforeDist) { - nearestBeforeDist = distBefore; - nearestBefore = ml; - } - let distAfter = (ml - bodyLongitude + 360) % 360; - if (distAfter === 0) distAfter = 360; - if (distAfter < nearestAfterDist) { - nearestAfterDist = distAfter; - nearestAfter = ml; - } - } - if (nearestBefore === null || nearestAfter === null) return false; - if (nearestBefore === nearestAfter) return false; - const beneficLongs = allPositions.filter((p) => BENEFICS.has(p.body)).map((p) => p.longitude); - for (const bl of beneficLongs) { - const arcBefore = (bodyLongitude - nearestBefore + 360) % 360; - const beneficInBefore = (bl - nearestBefore + 360) % 360 < arcBefore; - const arcAfter = (nearestAfter - bodyLongitude + 360) % 360; - const beneficInAfter = (bl - bodyLongitude + 360) % 360 < arcAfter; - if (beneficInBefore || beneficInAfter) return false; - } - return true; -} -function isViaCombusta(body, longitude) { - if (body !== "Moon") return false; - return longitude >= 195 && longitude < 225; -} -var HOUSE_OF_JOY = { - Mercury: 1, - Moon: 3, - Venus: 5, - Mars: 6, - Sun: 9, - Jupiter: 11, - Saturn: 12 -}; -function isJoyByHouse(body, house) { - return HOUSE_OF_JOY[body] === house; -} - -// src/research/index.ts -var PLANETS2 = [ - "mercury", - "venus", - "mars", - "jupiter", - "saturn", - "uranus", - "neptune", - "pluto" -]; -function computeResearch(input) { - const { - date, - lat, - positions, - aspects, - rawData, - speeds, - lstDeg, - isDayChart: isDayChart2, - prenatalSyzygy, - angles - } = input; - const researchPositions = []; - for (const pos of positions) { - const latSpeed = computeLatitudeSpeed(pos.body, date); - const distSpeed = computeDistanceSpeed(pos.body, date); - const extendedSpeed = computeExtendedSpeed( - pos.body, - /* v8 ignore next */ - speeds[pos.body] ?? 0, - latSpeed, - distSpeed - ); - const raw = rawData[pos.body]; - const aboveHorizon = pos.altitude > 0; - const speculum = raw ? computeSpeculumEntry(raw.ra, raw.dec, lat, lstDeg, aboveHorizon) : computeSpeculumEntry(0, 0, lat, lstDeg, false); - const gauquelinSector = raw ? computeGauquelinSector(raw.ra, lstDeg, speculum.dsa, speculum.nsa) : 1; - const accidentalDignityScore = computeAccidentalDignity(pos, extendedSpeed.relativeSpeed); - const hayz = isHayz(pos.body, isDayChart2, aboveHorizon, pos.polarity, pos.oriental); - const halb = isHalb(pos.body, isDayChart2, aboveHorizon, pos.polarity, pos.oriental); - const bodyLonsForBesiegement = positions.map((p) => ({ body: p.body, longitude: p.longitude })); - const besieged = isBesieged(pos.body, pos.longitude, bodyLonsForBesiegement); - const viaCombusta = isViaCombusta(pos.body, pos.longitude); - const joyByHouse = isJoyByHouse(pos.body, pos.house); - researchPositions.push({ - body: pos.body, - extendedSpeed, - speculum, - dialPosition90: toDial90(pos.longitude), - gauquelinSector, - gauquelinPlusZone: isGauquelinPlusZone(gauquelinSector), - accidentalDignityScore, - hayz, - halb, - besieged, - viaCombusta, - joyByHouse - }); - } - const bodyLons = positions.map((p) => ({ body: p.body, longitude: p.longitude })); - const midpoints = computeMidpoints(bodyLons); - const midpointStructures = findMidpointStructures(bodyLons, midpoints); - const partileAspects = aspects.filter((a) => a.orb < 1); - const sunLon = positions.find((p) => p.body === "Sun")?.longitude ?? 0; - const moonLon = positions.find((p) => p.body === "Moon")?.longitude ?? 0; - const hylegicalDegrees = [ - angles.asc, - angles.mc, - sunLon, - moonLon, - prenatalSyzygy.longitude - ]; - const almutenFiguris = computeAlmutenFiguris(hylegicalDegrees, isDayChart2); - return { - positions: researchPositions, - midpoints, - midpointStructures, - partileAspects, - almutenFiguris - }; -} -function computeLatitudeSpeed(body, date) { - switch (body) { - case "Sun": - return 0; - // Sun's ecliptic latitude is ~0 by definition - case "Moon": - return computeSpeed(date, (d) => getMoonPosition(d).latitude); - case "North Node": - return computeLinearSpeed(date, (d) => getRahuPosition(d).latitude); - case "South Node": - return computeLinearSpeed(date, (d) => -getRahuPosition(d).latitude); - case "Chiron": - return computeLinearSpeed(date, (d) => getChironPosition(d).latitude); - case "Lilith": - return computeLinearSpeed(date, (d) => getYuebeiPosition(d).latitude); - case "Part of Fortune": - case "Vertex": - return 0; - // computed points - default: { - const planet = body.toLowerCase(); - if (PLANETS2.includes(planet)) { - return computeSpeed(date, (d) => getPlanetPosition(planet, d).latitude); - } - return 0; - } - } -} -function computeDistanceSpeed(body, date) { - switch (body) { - case "Sun": - return 0; - // Sun–Earth distance variation is negligible for this purpose - case "Moon": - return computeLinearSpeed(date, (d) => getMoonPosition(d).distance); - case "North Node": - case "South Node": - case "Lilith": - case "Part of Fortune": - case "Vertex": - return 0; - // virtual points have no meaningful distance - case "Chiron": - return computeLinearSpeed(date, (d) => getChironPosition(d).distance); - default: { - const planet = body.toLowerCase(); - if (PLANETS2.includes(planet)) { - return computeLinearSpeed(date, (d) => getPlanetPosition(planet, d).distance); - } - return 0; - } - } -} - -// src/birth-chart.ts -var PLANETS3 = [ - "mercury", - "venus", - "mars", - "jupiter", - "saturn", - "uranus", - "neptune", - "pluto" -]; -var STATIONARY_THRESHOLD = 0.05; -var PTOLEMAIC_ANGLES = [0, 60, 90, 120, 180]; -var SOLAR_PROX_EXEMPT = /* @__PURE__ */ new Set([ - "Sun", - "Moon", - "Part of Fortune", - "Vertex", - "North Node", - "South Node" -]); -var ORIENTAL_EXEMPT = /* @__PURE__ */ new Set(["Sun", "Moon"]); -function capitalize2(s) { - return s.charAt(0).toUpperCase() + s.slice(1); -} -function computeBirthChart(date, lat, lng, options) { - const houseSystem = options?.houseSystem ?? "placidus"; - const queryDate = options?.queryDate ?? date; - const base = computeTropicalChart(date, lat, lng, { houseSystem }); - const T = dateToJulianCenturies(date); - const epsRad = trueObliquity(T); - const gmst = greenwichMeanSiderealTime(date); - const lstDeg = normalizeDegrees(gmst + lng); - const obliquityDeg = epsRad / DEG_TO_RAD; - const rawData = {}; - const sunLon = base.positions.find((p) => p.body === "Sun").longitude; - { - const [ra, dec] = eclipticToEquatorial(sunLon, 0, epsRad); - rawData["Sun"] = { ra: normalizeDegrees(ra), dec, distance: 1 }; - } - { - const geo = getMoonPosition(date); - rawData["Moon"] = { ra: normalizeDegrees(geo.ra), dec: geo.dec, distance: geo.distance }; - } - for (const planet of PLANETS3) { - const geo = getPlanetPosition(planet, date); - rawData[capitalize2(planet)] = { ra: normalizeDegrees(geo.ra), dec: geo.dec, distance: geo.distance }; - } - for (const name of ["North Node", "South Node", "Chiron", "Lilith", "Part of Fortune", "Vertex"]) { - const pos = base.positions.find((p) => p.body === name); - if (pos) { - const [ra, dec] = eclipticToEquatorial(pos.longitude, pos.latitude, epsRad); - rawData[name] = { ra: normalizeDegrees(ra), dec, distance: 0 }; - } - } - const speeds = {}; - speeds["Sun"] = computeSpeed(date, (d) => getSunLongitude(d)); - speeds["Moon"] = computeSpeed(date, (d) => getMoonPosition(d).longitude); - for (const planet of PLANETS3) { - speeds[capitalize2(planet)] = computeSpeed(date, (d) => getPlanetPosition(planet, d).longitude); - } - speeds["North Node"] = computeSpeed(date, (d) => getRahuPosition(d).longitude); - speeds["South Node"] = -speeds["North Node"]; - speeds["Chiron"] = computeSpeed(date, (d) => getChironPosition(d).longitude); - speeds["Lilith"] = computeSpeed(date, (d) => getYuebeiPosition(d).longitude); - speeds["Part of Fortune"] = 0; - speeds["Vertex"] = 0; - const sunHouse = base.positions.find((p) => p.body === "Sun").house; - const dayChart = isDayChart(sunHouse); - const positions = base.positions.map((p) => { - const speed = speeds[p.body] ?? 0; - const raw = rawData[p.body] ?? { ra: 0, dec: 0, distance: 0 }; - const { azimuth, altitude } = equatorialToHorizontal(raw.ra, raw.dec, lstDeg, lat); - const dignity = getExtendedDignity(p.body, p.sign, p.signDegree, dayChart); - const solarProx = computeSolarProximity(p.longitude, sunLon); - const decan = Math.floor(p.signDegree / 10) + 1; - const enriched = { - body: p.body, - longitude: p.longitude, - latitude: p.latitude, - distance: raw.distance, - ra: raw.ra, - declination: raw.dec, - speed, - retrograde: speed < 0, - stationary: Math.abs(speed) < STATIONARY_THRESHOLD, - sign: p.sign, - signDegree: p.signDegree, - house: p.house, - dignity, - dignityScore: dignity.score, - element: SIGN_ELEMENT[p.sign], - quality: SIGN_QUALITY[p.sign], - polarity: SIGN_POLARITY[p.sign], - decan, - peregrine: isPeregrine(p.body, p.sign, p.signDegree, dayChart), - dispositor: SIGN_RULER[p.sign], - antiscia: computeAntiscia(p.longitude), - contraAntiscia: computeContraAntiscia(p.longitude), - outOfBounds: isOutOfBounds(raw.dec, obliquityDeg), - combust: SOLAR_PROX_EXEMPT.has(p.body) ? false : solarProx.combust, - cazimi: SOLAR_PROX_EXEMPT.has(p.body) ? false : solarProx.cazimi, - underBeams: SOLAR_PROX_EXEMPT.has(p.body) ? false : solarProx.underBeams, - oriental: ORIENTAL_EXEMPT.has(p.body) ? null : isOriental(p.longitude, sunLon), - azimuth, - altitude, - sabianSymbol: getSabianSymbol(p.longitude) - }; - if (p.body === "Moon") { - enriched.lunarMansion = getWesternLunarMansion(p.longitude); - } - return enriched; - }); - const aspects = findAspects(base.positions, void 0, speeds).map((a) => ({ - body1: a.body1, - body2: a.body2, - type: a.type, - angle: a.angle, - orb: a.orb, - applying: a.applying, - major: a.major - })); - const parallels = findParallelAspects( - positions.map((p) => ({ body: p.body, declination: p.declination })) - ).map((a) => ({ - body1: a.body1, - body2: a.body2, - type: a.type, - angle: 0, - // declination aspects don't have a zodiacal angle - orb: a.orb, - applying: false, - // declination aspects lack speed-based applying/separating - major: true - // parallels are traditionally considered major - })); - const vertexLon = base.positions.find((p) => p.body === "Vertex").longitude; - const lstRad = lstDeg * DEG_TO_RAD; - const eqAsc = computeAscendant(lstRad, epsRad, 0); - const angles = { - asc: base.houses.ascendant, - dsc: normalizeDegrees(base.houses.ascendant + 180), - mc: base.houses.midheaven, - ic: normalizeDegrees(base.houses.midheaven + 180), - vertex: vertexLon, - equatorialAscendant: eqAsc - }; - const distributions = computeDistributions( - positions.map((p) => ({ - body: p.body, - element: p.element, - quality: p.quality, - polarity: p.polarity - })) - ); - const hemispheres = computeHemispheres( - positions.map((p) => ({ house: p.house })) - ); - const chartPattern = detectChartPattern( - positions.map((p) => p.longitude) - ); - const moonLon = positions.find((p) => p.body === "Moon").longitude; - const moonPhase2 = computeMoonPhase(sunLon, moonLon); - const dispositorChain = computeDispositorChain( - positions.map((p) => ({ body: p.body, sign: p.sign })) - ); - const finalDispositor = findFinalDispositor(dispositorChain); - const mutualReceptions = findMutualReceptions( - positions.map((p) => ({ body: p.body, sign: p.sign })) - ); - const fixedStarConjunctions = []; - for (const p of positions) { - fixedStarConjunctions.push(...findFixedStarConjunctions(p.longitude, p.body, T)); - } - const planetaryHour = computePlanetaryHour(date, lat, lng); - const planetaryDay = getPlanetaryDay(date); - const moonPos = positions.find((p) => p.body === "Moon"); - const voidOfCourseMoon = isVoidOfCourseMoon( - moonPos.longitude, - moonPos.speed, - moonPos.sign, - positions.filter((p) => p.body !== "Moon").map((p) => ({ longitude: p.longitude })), - PTOLEMAIC_ANGLES - ); - const prenatalSyzygy = findPrenatalSyzygy(date); - const profection = computeProfection(date, queryDate, base.houses.ascendant); - const firdaria = computeFirdaria(date, dayChart, queryDate); - const hyleg = findHyleg( - positions.map((p) => ({ body: p.body, house: p.house })), - dayChart - ); - let alcochoden = null; - if (hyleg) { - const hylegPos = positions.find((p) => p.body === hyleg); - if (hylegPos) { - alcochoden = findAlcochoden(hylegPos.sign, hylegPos.signDegree, dayChart); - } - } - const lunarMansion = getWesternLunarMansion(moonPos.longitude); - const research = options?.research ? computeResearch({ - date, - lat, - positions, - aspects, - rawData, - speeds, - lstDeg, - obliquityDeg, - isDayChart: dayChart, - prenatalSyzygy, - angles - }) : void 0; - return { - positions, - houses: base.houses, - aspects, - parallels, - angles, - distributions, - hemispheres, - chartPattern, - isDayChart: dayChart, - moonPhase: moonPhase2, - dispositorChain, - finalDispositor, - mutualReceptions, - fixedStarConjunctions, - planetaryHour, - planetaryDay, - voidOfCourseMoon, - prenatalSyzygy, - profection, - firdaria, - hyleg, - alcochoden, - lunarMansion, - settings: { - houseSystem, - zodiac: "tropical" - }, - research - }; -} - -// src/solar-return.ts -function computeSolarReturn(birthDate, lat, lng, year) { - const natalSunLon = getSunLongitude(birthDate); - const searchStart = new Date(Date.UTC(year, 0, 1)); - const returnDate = findSunLongitudeMoment(natalSunLon, searchStart, 366); - if (!returnDate) { - throw new Error(`Could not find solar return for year ${year}`); - } - const chart = computeBirthChart(returnDate, lat, lng); - return { - natalSunLongitude: natalSunLon, - returnDate, - year, - chart - }; -} - -// src/transits.ts -var ASPECT_ANGLES2 = { - conjunction: 0, - sextile: 60, - square: 90, - trine: 120, - opposition: 180 -}; -var MAJOR_ASPECTS2 = /* @__PURE__ */ new Set(["conjunction", "opposition", "trine", "square", "sextile"]); -var DEFAULT_ORBS2 = { - conjunction: 8, - opposition: 8, - trine: 8, - square: 7, - sextile: 6 -}; -function findCrossAspects(transitPositions, natalPositions, orbs) { - const effectiveOrbs = { ...DEFAULT_ORBS2, ...orbs }; - const aspects = []; - for (const tp of transitPositions) { - for (const np of natalPositions) { - const diff = Math.abs(tp.longitude - np.longitude); - const separation = diff > 180 ? 360 - diff : diff; - for (const [name, targetAngle] of Object.entries(ASPECT_ANGLES2)) { - const orb = Math.abs(separation - targetAngle); - if (orb <= (effectiveOrbs[name] ?? 0)) { - aspects.push({ - transitBody: tp.body, - natalBody: np.body, - type: name, - angle: targetAngle, - orb, - major: MAJOR_ASPECTS2.has(name) - }); - } - } - } - } - aspects.sort((a, b) => a.orb - b.orb); - return aspects; -} -function computeTransits(birthDate, lat, lng, transitDate) { - const natalChart = computeBirthChart(birthDate, lat, lng); - const transitChart = computeBirthChart(transitDate, lat, lng); - const natalPositions = natalChart.positions; - const transitPositions = transitChart.positions; - const aspects = findCrossAspects( - transitPositions.map((p) => ({ body: p.body, longitude: p.longitude })), - natalPositions.map((p) => ({ body: p.body, longitude: p.longitude })) - ); - return { - transitDate, - transitPositions, - natalPositions, - aspects - }; -} - -// src/sidereal-astrology.ts -var LAHIRI_AT_J2000 = 23.8562; -var NAKSHATRAS = [ - "Ashwini", - "Bharani", - "Krittika", - "Rohini", - "Mrigashira", - "Ardra", - "Punarvasu", - "Pushya", - "Ashlesha", - "Magha", - "Purva Phalguni", - "Uttara Phalguni", - "Hasta", - "Chitra", - "Swati", - "Vishakha", - "Anuradha", - "Jyeshtha", - "Mula", - "Purva Ashadha", - "Uttara Ashadha", - "Shravana", - "Dhanishtha", - "Shatabhisha", - "Purva Bhadrapada", - "Uttara Bhadrapada", - "Revati" -]; -var DASHA_LORDS = [ - { planet: "Ketu", years: 7 }, - { planet: "Venus", years: 20 }, - { planet: "Sun", years: 6 }, - { planet: "Moon", years: 10 }, - { planet: "Mars", years: 7 }, - { planet: "Rahu", years: 18 }, - { planet: "Jupiter", years: 16 }, - { planet: "Saturn", years: 19 }, - { planet: "Mercury", years: 17 } -]; -var NAKSHATRA_WIDTH = 360 / 27; -var PADA_WIDTH = 360 / 108; -var ZODIAC_SIGNS3 = [ - "Aries", - "Taurus", - "Gemini", - "Cancer", - "Leo", - "Virgo", - "Libra", - "Scorpio", - "Sagittarius", - "Capricorn", - "Aquarius", - "Pisces" -]; -var MS_PER_YEAR = 365.25 * 24 * 60 * 60 * 1e3; -var JYOTISH_PLANETS = ["mercury", "venus", "mars", "jupiter", "saturn"]; -function getLahiriAyanamsa(date) { - const T = dateToJulianCenturies(date); - const precessionDeg = precessionInLongitude(T) / 3600; - return LAHIRI_AT_J2000 + precessionDeg; -} -function getNakshatra(siderealLongitude) { - const norm = (siderealLongitude % 360 + 360) % 360; - const BOUNDARY_EPS = 1e-10; - const nakshatraIndex = Math.floor(norm / NAKSHATRA_WIDTH + BOUNDARY_EPS); - const idx = nakshatraIndex >= 27 ? 0 : nakshatraIndex; - const withinNakshatra = norm - idx * NAKSHATRA_WIDTH; - const padaIndex = Math.floor(withinNakshatra / PADA_WIDTH + BOUNDARY_EPS); - const pada = Math.min(padaIndex, 3) + 1; - const lordIndex = idx % 9; - return { - nakshatra: NAKSHATRAS[idx], - pada, - index: idx, - lordIndex - }; -} -function computeVimshottariDashas(moonSiderealLongitude, birthDate) { - const nak = getNakshatra(moonSiderealLongitude); - const norm = (moonSiderealLongitude % 360 + 360) % 360; - const withinNakshatra = norm - nak.index * NAKSHATRA_WIDTH; - const fractionElapsed = withinNakshatra / NAKSHATRA_WIDTH; - const remainingFraction = 1 - fractionElapsed; - const startLordIndex = nak.lordIndex; - const dashas = []; - let currentTime = birthDate.getTime(); - for (let i = 0; i < 9; i++) { - const lordIdx = (startLordIndex + i) % 9; - const lord = DASHA_LORDS[lordIdx]; - const years = i === 0 ? lord.years * remainingFraction : lord.years; - const durationMs = years * MS_PER_YEAR; - const startDate = new Date(currentTime); - const endDate = new Date(currentTime + durationMs); - dashas.push({ - planet: lord.planet, - years, - startDate, - endDate - }); - currentTime += durationMs; - } - return dashas; -} -function signElement(signIndex2) { - const elements = ["fire", "earth", "air", "water"]; - return elements[signIndex2 % 4]; -} -function isOddSign(signIndex2) { - return signIndex2 % 2 === 0; -} -function computeNavamsaSign(siderealLongitude) { - const norm = (siderealLongitude % 360 + 360) % 360; - const signIndex2 = Math.floor(norm / 30); - const idx = signIndex2 >= 12 ? 0 : signIndex2; - const degreeInSign = norm - idx * 30; - const navamsaWidth = 30 / 9; - const navamsaIndex = Math.floor(degreeInSign / navamsaWidth); - const navIdx = Math.min(navamsaIndex, 8); - const elem = signElement(idx); - let startSignIndex; - switch (elem) { - case "fire": - startSignIndex = 0; - break; - // Aries - case "earth": - startSignIndex = 9; - break; - // Capricorn - case "air": - startSignIndex = 6; - break; - // Libra - case "water": - startSignIndex = 3; - break; - } - const resultSignIndex = (startSignIndex + navIdx) % 12; - const degreeInNavamsa = degreeInSign - navIdx * navamsaWidth; - return { - sign: ZODIAC_SIGNS3[resultSignIndex], - degree: degreeInNavamsa - }; -} -function computeDasamsaSign(siderealLongitude) { - const norm = (siderealLongitude % 360 + 360) % 360; - const signIndex2 = Math.floor(norm / 30); - const idx = signIndex2 >= 12 ? 0 : signIndex2; - const degreeInSign = norm - idx * 30; - const dasamsaWidth = 3; - const dasamsaIndex = Math.floor(degreeInSign / dasamsaWidth); - const dasIdx = Math.min(dasamsaIndex, 9); - let startSignIndex; - if (isOddSign(idx)) { - startSignIndex = idx; - } else { - startSignIndex = (idx + 8) % 12; - } - const resultSignIndex = (startSignIndex + dasIdx) % 12; - const degreeInDasamsa = degreeInSign - dasIdx * dasamsaWidth; - return { - sign: ZODIAC_SIGNS3[resultSignIndex], - degree: degreeInDasamsa - }; -} -function computeDivisionalChart(positions, type) { - const divPositions = positions.map((pos) => { - let result; - switch (type) { - case "D1": { - result = getZodiacSign(pos.siderealLongitude); - break; - } - case "D9": { - result = computeNavamsaSign(pos.siderealLongitude); - break; - } - case "D10": { - result = computeDasamsaSign(pos.siderealLongitude); - break; - } - } - return { - body: pos.body, - sign: result.sign, - signDegree: result.degree - }; - }); - return { - type, - positions: divPositions - }; -} -function computeSiderealChart(date, lat, lng) { - const ayanamsa = getLahiriAyanamsa(date); - const tropicalBodies = []; - const sunLon = getSunLongitude(date); - tropicalBodies.push({ body: "Sun", longitude: sunLon, latitude: 0 }); - const moonPos = getMoonPosition(date); - tropicalBodies.push({ body: "Moon", longitude: moonPos.longitude, latitude: moonPos.latitude }); - for (const planet of JYOTISH_PLANETS) { - const pos = getPlanetPosition(planet, date); - const name = planet.charAt(0).toUpperCase() + planet.slice(1); - tropicalBodies.push({ body: name, longitude: pos.longitude, latitude: pos.latitude }); - } - const outerPlanets = ["uranus", "neptune"]; - for (const planet of outerPlanets) { - const pos = getPlanetPosition(planet, date); - const name = planet.charAt(0).toUpperCase() + planet.slice(1); - tropicalBodies.push({ body: name, longitude: pos.longitude, latitude: pos.latitude }); - } - const positions = tropicalBodies.map((tb) => { - const siderealLon = normalizeDegrees(tb.longitude - ayanamsa); - const { sign, degree: signDegree } = getZodiacSign(siderealLon); - const nak = getNakshatra(siderealLon); - return { - body: tb.body, - tropicalLongitude: tb.longitude, - siderealLongitude: siderealLon, - sign, - signDegree, - nakshatra: nak.nakshatra, - nakshatraPada: nak.pada - }; - }); - const moonPosition = positions.find((p) => p.body === "Moon"); - const dashas = computeVimshottariDashas(moonPosition.siderealLongitude, date); - const d1 = computeDivisionalChart(positions, "D1"); - const d9 = computeDivisionalChart(positions, "D9"); - const d10 = computeDivisionalChart(positions, "D10"); - return { - ayanamsa, - positions, - dashas, - divisionalCharts: [d1, d9, d10] - }; -} -// Annotate the CommonJS export names for ESM import in node: -0 && (module.exports = { - ALMANAC_FLAG_REGISTRY, - AVERAGE_SPEEDS, - BRANCHES, - BRANCH_ELEMENT, - CITIES, - CITY_REGIONS, - CLASH_PAIRS, - CONQUERING_CYCLE, - CYCLE_ELEMENTS, - DAY_FITNESS_AUSPICIOUS, - DAY_FITNESS_CYCLE, - DEG_TO_RAD, - DESTRUCTION_PAIRS, - DUTY_DEITIES, - EARTH_BRANCHES, - ECLIPSE_DATA_RANGE, - EIGHT_DEITIES, - EIGHT_DOORS, - ELEMENT_ORDER, - FLYING_STARS, - GENERATIVE_CYCLE, - HALF_HARMONIES, - HARMONY_PAIRS, - HARM_PAIRS, - HEAVENLY_GENERALS, - HIDDEN_HARMONY_PAIRS, - HIDDEN_STEMS, - LUNAR_MANSIONS, - MAJOR_STARS, - MONTH_BOUNDARY_INDICES, - NINE_STARS, - PALACE_NAMES, - PUNISHMENT_GROUPS, - RAD_TO_DEG, - SALARY_STAR, - SAN_QI_LIU_YI, - SEASONAL_UNIONS, - SELF_PUNISHMENT, - SIGN_ELEMENT, - SIGN_POLARITY, - SIGN_QUALITY, - SIGN_RULER, - SOLAR_TERM_LONGITUDES, - SOLAR_TERM_NAMES, - STEMS, - STEM_CLASHES, - STEM_COMBINATIONS, - STEM_ELEMENT, - STEM_LODGING, - STORAGE_MAP, - STRENGTH, - TEN_RELATION_NAMES, - THREE_HARMONIES, - TWELVE_STAGES, - ZODIAC_ANIMALS, - ZODIAC_ENGLISH, - allSixtyStemBranch, - animalFromBranch, - branchByIndex, - branchFromAnimal, - branchFromHour, - branchFromMonth, - branchPolarity, - branchToPalace, - buildEarthPlate, - buildFourLessons, - buildHeavenPlate, - buildPlates, - computeAccidentalDignity, - computeAlmutenFiguris, - computeAntiscia, - computeAscendant, - computeBirthChart, - computeChuanRenChart, - computeContraAntiscia, - computeDispositorChain, - computeDistributions, - computeDivisionalChart, - computeExtendedSpeed, - computeFirdaria, - computeFourPillars, - computeGauquelinSector, - computeHemispheres, - computeHouses, - computeLinearSpeed, - computeMajorLuck, - computeMidheaven, - computeMidpoints, - computeMinorLuck, - computeMoonPhase, - computePlanetaryHour, - computeProfection, - computeQiMen, - computeQiMenForDate, - computeResearch, - computeSiderealChart, - computeSixRen, - computeSixRenForDate, - computeSolarProximity, - computeSolarReturn, - computeSpeculumEntry, - computeSpeed, - computeTransits, - computeTropicalChart, - computeVimshottariDashas, - computeVoidBranches, - computeZiWei, - dailyAlmanac, - dateToJulianCenturies, - deltaT, - deltaTForYear, - detectChartPattern, - eclipticToEquatorial, - equationOfTime, - equationOfTimeVSOP, - equatorialToHorizontal, - findAlcochoden, - findAspects, - findCrossAspects, - findFinalDispositor, - findFixedStarConjunctions, - findHyleg, - findMidpointStructures, - findMutualReceptions, - findNearestCity, - findNearestEclipse, - findNewMoonsInRange, - findParallelAspects, - findPrenatalSyzygy, - findSolarTermMoment, - findSpringStart, - formatUtcOffset, - fullMoonJDE, - getAllLunarEclipses, - getAllSolarEclipses, - getAlmanacFlags, - getAlmanacFlagsForPillars, - getAscendant, - getCanopy, - getChineseZodiac, - getChineseZodiacLunarNewYear, - getChironPosition, - getCitiesByRegion, - getCombinedElement, - getCycleElement, - getCycleElementName, - getDayClash, - getDayClashForDate, - getDayFitness, - getDayFitnessForDate, - getDayRelation, - getDayStar, - getDeathSpirit, - getDeityDirections, - getDeityDirectionsForDate, - getDignity, - getDutyDeity, - getDutyDeityForDate, - getEarthType, - getEclipsesForYear, - getEclipsesInRange, - getElementPattern, - getElementRelation, - getEscapeMode, - getExtendedDignity, - getFaceRuler, - getFatepalace, - getFetalDeity, - getFetalDeityForDate, - getFlyingStars, - getGeneralStar, - getGoldenCarriage, - getHeavenlyDoctor, - getHeavenlyJoy, - getHeavenlyNoble, - getHeavenlyVirtue, - getHeavenlyVirtueCombo, - getHiddenHarmonyPairs, - getHiddenStems, - getHourStar, - getJuShu, - getKetuPosition, - getLahiriAyanamsa, - getLifeStage, - getLiteraryStar, - getLonelyStar, - getLuckDirection, - getLunarMansion, - getLunarMansionForDate, - getLunarMonthsForYear, - getLunarNewYear, - getMansionForLongitude, - getMonthBoundaryTerms, - getMonthStar, - getMonthlyGeneral, - getMonthlyVirtue, - getMonthlyVirtueCombo, - getMoonPosition, - getNakshatra, - getPalaceForLongitude, - getPeachBlossom, - getPengZuTaboo, - getPengZuTabooForDate, - getPlanetPosition, - getPlanetaryDay, - getProsperityStar, - getPunishmentType, - getPurpleQiPosition, - getRahuPosition, - getRamBlade, - getRedPhoenix, - getRobberyStar, - getSabianSymbol, - getSalaryStar, - getSeasonalUnionElement, - getSevenGovernorsChart, - getSolarMonthExact, - getSolarTermsForYear, - getStandardMeridian, - getStorageElement, - getStrength, - getStudyHall, - getSupremeNoble, - getTenRelation, - getTenRelationForBranch, - getTermRuler, - getThreeHarmonyElement, - getThreeWonders, - getTravelingHorse, - getTriplicityRuler, - getUtcOffset, - getWesternLunarMansion, - getWesternZodiac, - getWidowStar, - getYearStar, - getYuebeiPosition, - getZiWeiPosition, - getZodiacBySpringStart, - getZodiacSign, - greenwichMeanSiderealTime, - gregorianToLunisolar, - isBesieged, - isClash, - isCommandingStar, - isDayChart, - isDestruction, - isDryEarth, - isDst, - isEarthTrap, - isEclipseDate, - isFourWaste, - isGauquelinPlusZone, - isGoldSpirit, - isHalb, - isHarm, - isHarmony, - isHayz, - isHeavenNet, - isHeavensPardon, - isHiddenHarmony, - isJoyByHouse, - isMonthBreak, - isOriental, - isOutOfBounds, - isPeregrine, - isPunishment, - isSeasonalUnion, - isSelfPunishment, - isStemClash, - isStemCombination, - isTenEvils, - isTenSpirits, - isThreeHarmony, - isViaCombusta, - isVoidOfCourseMoon, - isWetEarth, - isYearBreak, - isYinYangError, - jdToCalendarDate, - julianCalendarToDate, - julianDayNumber, - localToUtc, - makeStemBranch, - meanObliquity, - moonApparentLongitude, - moonPhase, - newMoonJDE, - normalizeDegrees, - parseStemBranch, - precessStar, - precessionInLongitude, - searchCities, - shortArcMidpoint, - solarEclipticState, - solarTermForLongitude, - stemBranchByCycleIndex, - stemBranchCycleIndex, - stemByIndex, - stemPolarity, - timezoneFromLongitude, - toDial90, - toSiderealLongitude, - trueObliquity, - trueSolarTime, - utcToLocal, - wallClockToSolarTime -});