- 使用压缩表加速查找日月食沙罗周期信息 - 优化日月食搜索跳步,减少非食季朔望月扫描 - 新增本地日全食、日环食、月全食搜索接口,返回 ok 区分未找到结果 - 新增水星、金星地心凌日查询及测试
368 lines
14 KiB
Go
368 lines
14 KiB
Go
package eclipse
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import (
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"math"
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"time"
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"b612.me/astro/basic"
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)
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const (
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solarEclipseSynodicMonthDays = 29.530588853
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solarEclipseSearchLimit = 36
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solarEclipseSearchEpsilonDay = 1e-8
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solarEclipseLatitudeLimitDeg = 2.0
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)
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type solarEclipseCalculator func(float64) basic.SolarEclipseResult
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// SolarEclipseRadiusModel 日食月亮半径模型, lunar radius model for solar eclipses.
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type SolarEclipseRadiusModel string
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const (
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// SolarEclipseModelIAUSingleK IAU 单一 k 值模型, IAU single-k model.
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SolarEclipseModelIAUSingleK SolarEclipseRadiusModel = "iau_single_k"
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// SolarEclipseModelNASABulletinSplitK NASA bulletin 分裂 k 值模型, NASA bulletin split-k model.
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SolarEclipseModelNASABulletinSplitK SolarEclipseRadiusModel = "nasa_bulletin_split_k"
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)
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// SolarEclipseType 全局日食食型, global solar eclipse type.
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type SolarEclipseType string
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const (
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// SolarEclipseNone 无日食, no solar eclipse.
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SolarEclipseNone SolarEclipseType = "none"
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// SolarEclipsePartial 日偏食, partial solar eclipse.
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SolarEclipsePartial SolarEclipseType = "partial"
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// SolarEclipseAnnular 日环食, annular solar eclipse.
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SolarEclipseAnnular SolarEclipseType = "annular"
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// SolarEclipseTotal 日全食, total solar eclipse.
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SolarEclipseTotal SolarEclipseType = "total"
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// SolarEclipseHybrid 全环食, hybrid solar eclipse.
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SolarEclipseHybrid SolarEclipseType = "hybrid"
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)
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// SolarEclipseCentrality 中心线进入地球的方式, global eclipse centrality.
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type SolarEclipseCentrality string
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const (
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// SolarEclipseNonCentral 非中心食, non-central eclipse.
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SolarEclipseNonCentral SolarEclipseCentrality = "non_central"
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// SolarEclipseCentralOneLimit 单界中心食, central eclipse with one limit.
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SolarEclipseCentralOneLimit SolarEclipseCentrality = "central_one_limit"
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// SolarEclipseCentralTwoLimits 双界中心食, central eclipse with two limits.
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SolarEclipseCentralTwoLimits SolarEclipseCentrality = "central_two_limits"
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)
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// SolarEclipseInfo 全局日食信息, global solar eclipse information.
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//
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// 所有时刻字段都保持用户输入的时区。
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// 不存在的阶段使用零值 time.Time。
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type SolarEclipseInfo struct {
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// Model 日食月亮半径模型, eclipse lunar radius model.
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Model SolarEclipseRadiusModel
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// Type 全局食型, global eclipse type.
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Type SolarEclipseType
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// Centrality 中心性, eclipse centrality.
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Centrality SolarEclipseCentrality
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// HasSaros 存在沙罗序列信息, has Saros series metadata.
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HasSaros bool
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// Saros 是沙罗序列信息,包括系列号、系列内序号和总成员数。
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// Saros is Saros series metadata with the series number, member index, and total member count.
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Saros SarosInfo
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// GreatestEclipse 食甚时刻, greatest eclipse.
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GreatestEclipse time.Time
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// PartialBeginOnEarth 地球范围偏食始, partial eclipse begins on Earth.
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PartialBeginOnEarth time.Time
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// PartialEndOnEarth 地球范围偏食终, partial eclipse ends on Earth.
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PartialEndOnEarth time.Time
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// CentralBeginOnEarth 地球范围中心食始, central eclipse begins on Earth.
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CentralBeginOnEarth time.Time
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// CentralEndOnEarth 地球范围中心食终, central eclipse ends on Earth.
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CentralEndOnEarth time.Time
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// Magnitude 全局食分, global eclipse magnitude.
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Magnitude float64
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// Gamma 食甚时影轴到地心的距离, gamma at greatest eclipse.
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Gamma float64
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// PathWidthKM 食甚处中心食带宽度, central path width at greatest eclipse.
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PathWidthKM float64
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// GreatestLongitude 食甚点经度,东正西负, longitude of greatest eclipse, east positive.
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GreatestLongitude float64
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// GreatestLatitude 食甚点纬度,北正南负, latitude of greatest eclipse, north positive.
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GreatestLatitude float64
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// HasPartial 存在偏食阶段, has partial phase.
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HasPartial bool
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// HasCentral 存在中心食阶段, has central phase.
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HasCentral bool
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// HasAnnular 存在环食阶段, has annular phase.
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HasAnnular bool
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// HasTotal 存在全食阶段, has total phase.
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HasTotal bool
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// HasHybrid 为混合食, is hybrid eclipse.
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HasHybrid bool
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}
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// SolarEclipseOnDate 当地自然日全局日食查询 / local-date global solar eclipse query.
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// Determine whether a global solar eclipse overlaps the local date, using NASA bulletin Split-K by default.
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func SolarEclipseOnDate(date time.Time) (SolarEclipseInfo, bool) {
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return SolarEclipseOnDateNASABulletinSplitK(date)
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}
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// SolarEclipseOnDateNASABulletinSplitK 当地自然日全局日食查询(NASA bulletin Split-K) / local-date global solar eclipse query with NASA bulletin Split-K.
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// Determine whether a global solar eclipse overlaps the local date with the NASA bulletin Split-K model.
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func SolarEclipseOnDateNASABulletinSplitK(date time.Time) (SolarEclipseInfo, bool) {
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return solarEclipseOnDate(date, basic.SolarEclipseNASABulletinSplitK)
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}
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// SolarEclipseOnDateIAUSingleK 当地自然日全局日食查询(IAU Single-K) / local-date global solar eclipse query with IAU Single-K.
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// Determine whether a global solar eclipse overlaps the local date with the IAU Single-K model.
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func SolarEclipseOnDateIAUSingleK(date time.Time) (SolarEclipseInfo, bool) {
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return solarEclipseOnDate(date, basic.SolarEclipseIAUSingleK)
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}
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func solarEclipseOnDate(date time.Time, calculator solarEclipseCalculator) (SolarEclipseInfo, bool) {
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location := date.Location()
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dayStart, dayMid, dayEnd := solarEclipseLocalDayBounds(date)
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candidateTT := basic.CalcMoonSHByJDE(solarEclipseTimeToTTJDE(dayMid), 0)
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result := calculator(candidateTT)
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if result.Type == basic.SolarEclipseNone {
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return SolarEclipseInfo{}, false
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}
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info := solarEclipseInfoFromBasic(result, location)
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if !solarEclipseOverlapsDate(info, dayStart, dayEnd) {
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return SolarEclipseInfo{}, false
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}
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return info, true
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}
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// LastSolarEclipse 上次日食 / previous solar eclipse.
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// Previous solar eclipse, using NASA bulletin Split-K by default.
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func LastSolarEclipse(date time.Time) SolarEclipseInfo {
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return LastSolarEclipseNASABulletinSplitK(date)
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}
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// LastSolarEclipseNASABulletinSplitK 上次日食(NASA bulletin Split-K) / previous solar eclipse with NASA bulletin Split-K.
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// Previous solar eclipse with the NASA bulletin Split-K model.
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func LastSolarEclipseNASABulletinSplitK(date time.Time) SolarEclipseInfo {
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info, _ := searchSolarEclipse(date, -1, true, basic.SolarEclipseNASABulletinSplitK)
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return info
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}
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// LastSolarEclipseIAUSingleK 上次日食(IAU Single-K) / previous solar eclipse with IAU Single-K.
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// Previous solar eclipse with the IAU Single-K model.
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func LastSolarEclipseIAUSingleK(date time.Time) SolarEclipseInfo {
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info, _ := searchSolarEclipse(date, -1, true, basic.SolarEclipseIAUSingleK)
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return info
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}
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// NextSolarEclipse 下次日食 / next solar eclipse.
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// Next solar eclipse, using NASA bulletin Split-K by default.
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func NextSolarEclipse(date time.Time) SolarEclipseInfo {
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return NextSolarEclipseNASABulletinSplitK(date)
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}
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// NextSolarEclipseNASABulletinSplitK 下次日食(NASA bulletin Split-K) / next solar eclipse with NASA bulletin Split-K.
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// Next solar eclipse with the NASA bulletin Split-K model.
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func NextSolarEclipseNASABulletinSplitK(date time.Time) SolarEclipseInfo {
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info, _ := searchSolarEclipse(date, 1, false, basic.SolarEclipseNASABulletinSplitK)
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return info
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}
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// NextSolarEclipseIAUSingleK 下次日食(IAU Single-K) / next solar eclipse with IAU Single-K.
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// Next solar eclipse with the IAU Single-K model.
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func NextSolarEclipseIAUSingleK(date time.Time) SolarEclipseInfo {
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info, _ := searchSolarEclipse(date, 1, false, basic.SolarEclipseIAUSingleK)
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return info
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}
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// ClosestSolarEclipse 最近一次日食 / closest solar eclipse.
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// Closest solar eclipse, using NASA bulletin Split-K by default.
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func ClosestSolarEclipse(date time.Time) SolarEclipseInfo {
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return ClosestSolarEclipseNASABulletinSplitK(date)
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}
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// ClosestSolarEclipseNASABulletinSplitK 最近一次日食(NASA bulletin Split-K) / closest solar eclipse with NASA bulletin Split-K.
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// Closest solar eclipse with the NASA bulletin Split-K model.
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func ClosestSolarEclipseNASABulletinSplitK(date time.Time) SolarEclipseInfo {
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last, hasLast := searchSolarEclipse(date, -1, true, basic.SolarEclipseNASABulletinSplitK)
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next, hasNext := searchSolarEclipse(date, 1, false, basic.SolarEclipseNASABulletinSplitK)
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return closestSolarEclipse(date, last, hasLast, next, hasNext)
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}
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// ClosestSolarEclipseIAUSingleK 最近一次日食(IAU Single-K) / closest solar eclipse with IAU Single-K.
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// Closest solar eclipse with the IAU Single-K model.
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func ClosestSolarEclipseIAUSingleK(date time.Time) SolarEclipseInfo {
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last, hasLast := searchSolarEclipse(date, -1, true, basic.SolarEclipseIAUSingleK)
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next, hasNext := searchSolarEclipse(date, 1, false, basic.SolarEclipseIAUSingleK)
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return closestSolarEclipse(date, last, hasLast, next, hasNext)
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}
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func closestSolarEclipse(
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date time.Time,
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last SolarEclipseInfo,
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hasLast bool,
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next SolarEclipseInfo,
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hasNext bool,
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) SolarEclipseInfo {
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switch {
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case hasLast && !hasNext:
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return last
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case !hasLast && hasNext:
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return next
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case !hasLast && !hasNext:
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return SolarEclipseInfo{}
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}
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lastDistance := math.Abs(date.Sub(last.GreatestEclipse).Seconds())
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nextDistance := math.Abs(next.GreatestEclipse.Sub(date).Seconds())
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if lastDistance <= nextDistance {
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return last
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}
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return next
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}
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func searchSolarEclipse(
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date time.Time,
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direction int,
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includeCurrent bool,
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calculator solarEclipseCalculator,
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) (SolarEclipseInfo, bool) {
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targetTT := solarEclipseTimeToTTJDE(date)
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candidateTT := basic.CalcMoonSHByJDE(targetTT, 0)
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for i := 0; i < solarEclipseSearchLimit; i++ {
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if isPotentialSolarEclipse(candidateTT) {
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result := calculator(candidateTT)
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if result.Type != basic.SolarEclipseNone && solarEclipseMatchesDirection(result.GreatestEclipse, targetTT, direction, includeCurrent) {
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return solarEclipseInfoFromBasic(result, date.Location()), true
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}
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}
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candidateTT = nextEclipseSearchCandidateTT(candidateTT, 0, direction, solarEclipseSynodicMonthDays)
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}
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return SolarEclipseInfo{}, false
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}
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func isPotentialSolarEclipse(newMoonTT float64) bool {
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return math.Abs(basic.HMoonTrueBo(newMoonTT)) <= solarEclipseLatitudeLimitDeg
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}
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func solarEclipseMatchesDirection(greatestTT, targetTT float64, direction int, includeCurrent bool) bool {
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delta := greatestTT - targetTT
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if math.Abs(delta) <= solarEclipseSearchEpsilonDay {
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return direction < 0 && includeCurrent
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}
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if direction > 0 {
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return delta > 0
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}
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return delta < 0
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}
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func solarEclipseLocalDayBounds(date time.Time) (time.Time, time.Time, time.Time) {
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location := date.Location()
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dayStart := time.Date(date.Year(), date.Month(), date.Day(), 0, 0, 0, 0, location)
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dayMid := time.Date(date.Year(), date.Month(), date.Day(), 12, 0, 0, 0, location)
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dayEnd := time.Date(date.Year(), date.Month(), date.Day()+1, 0, 0, 0, 0, location)
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return dayStart, dayMid, dayEnd
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}
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func nextSolarEclipseLocalDayStart(dayStart time.Time) time.Time {
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location := dayStart.Location()
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return time.Date(dayStart.Year(), dayStart.Month(), dayStart.Day()+1, 0, 0, 0, 0, location)
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}
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func solarEclipseInfoFromBasic(result basic.SolarEclipseResult, location *time.Location) SolarEclipseInfo {
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saros, hasSaros := solarSarosInfo(result.GreatestEclipse)
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return SolarEclipseInfo{
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Model: mapBasicSolarEclipseModel(result.Model),
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Type: mapBasicSolarEclipseType(result.Type),
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Centrality: mapBasicSolarEclipseCentrality(result.Centrality),
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HasSaros: hasSaros,
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Saros: saros,
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GreatestEclipse: solarEclipseTTJDEToTime(result.GreatestEclipse, location),
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PartialBeginOnEarth: solarEclipseTTJDEToTime(result.PartialBeginOnEarth, location),
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PartialEndOnEarth: solarEclipseTTJDEToTime(result.PartialEndOnEarth, location),
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CentralBeginOnEarth: solarEclipseTTJDEToTime(result.CentralBeginOnEarth, location),
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CentralEndOnEarth: solarEclipseTTJDEToTime(result.CentralEndOnEarth, location),
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Magnitude: result.Magnitude,
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Gamma: result.Gamma,
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PathWidthKM: result.PathWidthKM,
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GreatestLongitude: result.GreatestLongitude,
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GreatestLatitude: result.GreatestLatitude,
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HasPartial: result.HasPartial,
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HasCentral: result.HasCentral,
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HasAnnular: result.HasAnnular,
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HasTotal: result.HasTotal,
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HasHybrid: result.HasHybrid,
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}
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}
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func mapBasicSolarEclipseModel(model basic.SolarEclipseRadiusModel) SolarEclipseRadiusModel {
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switch model {
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case basic.SolarEclipseModelIAUSingleK:
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return SolarEclipseModelIAUSingleK
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default:
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return SolarEclipseModelNASABulletinSplitK
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}
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}
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func mapBasicSolarEclipseType(eclipseType basic.SolarEclipseType) SolarEclipseType {
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switch eclipseType {
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case basic.SolarEclipsePartial:
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return SolarEclipsePartial
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case basic.SolarEclipseAnnular:
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return SolarEclipseAnnular
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case basic.SolarEclipseTotal:
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return SolarEclipseTotal
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case basic.SolarEclipseHybrid:
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return SolarEclipseHybrid
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default:
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return SolarEclipseNone
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}
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}
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func mapBasicSolarEclipseCentrality(centrality basic.SolarEclipseCentrality) SolarEclipseCentrality {
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switch centrality {
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case basic.SolarEclipseCentralOneLimit:
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return SolarEclipseCentralOneLimit
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case basic.SolarEclipseCentralTwoLimits:
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return SolarEclipseCentralTwoLimits
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default:
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return SolarEclipseNonCentral
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}
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}
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func solarEclipseOverlapsDate(info SolarEclipseInfo, dayStart, dayEnd time.Time) bool {
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eventStart, eventEnd, ok := solarEclipseRange(info)
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if !ok {
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return false
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}
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return !eventEnd.Before(dayStart) && eventStart.Before(dayEnd)
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}
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func solarEclipseRange(info SolarEclipseInfo) (time.Time, time.Time, bool) {
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if !info.HasPartial {
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return time.Time{}, time.Time{}, false
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}
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return info.PartialBeginOnEarth, info.PartialEndOnEarth, true
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}
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func solarEclipseTTJDEToTime(ttJDE float64, location *time.Location) time.Time {
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if ttJDE == 0 {
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return time.Time{}
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}
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utcJDE := basic.TD2UT(ttJDE, false)
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return basic.JDE2DateByZone(utcJDE, location, false)
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}
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func solarEclipseTimeToTTJDE(date time.Time) float64 {
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utcJDE := basic.Date2JDE(date.UTC())
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return basic.TD2UT(utcJDE, true)
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}
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