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astro/eclipse/solar_path.go
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package eclipse
import (
"math"
"time"
"b612.me/astro/basic"
)
// SolarEclipsePathOptions 控制日食中心路径采样。
// SolarEclipsePathOptions controls central solar eclipse path sampling.
type SolarEclipsePathOptions struct {
// Step 是基础时间采样步长;<=0 时使用 1 分钟。
// Step is the base time step; values <= 0 use one minute.
Step time.Duration
// TargetSpacingKM 是相邻中心线点的最大目标地表距离;<=0 时不按距离加密。
// TargetSpacingKM is the target maximum ground spacing between centerline points; values <= 0 disable spacing refinement.
TargetSpacingKM float64
}
// SolarEclipsePathPoint 表示日食路径上的一个地理点。
// SolarEclipsePathPoint is one geographic point on a solar eclipse path.
type SolarEclipsePathPoint struct {
// Time 时刻,保持用户输入时区, time in the input location.
Time time.Time
// Longitude 经度,东正西负, longitude in degrees, east positive.
Longitude float64
// Latitude 纬度,北正南负, latitude in degrees, north positive.
Latitude float64
// SunAltitude 太阳高度角,单位度, Sun altitude in degrees.
SunAltitude float64
// WidthKM 中心食带宽度,单位千米;仅中心线点有意义。
// WidthKM is the central path width in kilometers; meaningful for centerline points.
WidthKM float64
}
// SolarEclipsePath 表示一次中心日食的路径数据。
// SolarEclipsePath contains central solar eclipse path data.
type SolarEclipsePath struct {
// Eclipse 是对应的全局日食信息, related global solar eclipse information.
Eclipse SolarEclipseInfo
// Greatest 是食甚点/最佳观测点, greatest eclipse point.
Greatest SolarEclipsePathPoint
// CenterLine 是中心线, central line.
CenterLine []SolarEclipsePathPoint
// NorthernLimit 是中心食带北界近似线, approximate northern limit of the central path.
NorthernLimit []SolarEclipsePathPoint
// SouthernLimit 是中心食带南界近似线, approximate southern limit of the central path.
SouthernLimit []SolarEclipsePathPoint
// Step 是实际采用的基础时间采样步长, effective base time step.
Step time.Duration
// TargetSpacingKM 是实际采用的目标空间采样距离,单位千米。
// TargetSpacingKM is the effective target spacing in kilometers.
TargetSpacingKM float64
}
// SolarEclipsePartialFootprintOptions 控制日食偏食半影足迹采样。
// SolarEclipsePartialFootprintOptions controls solar eclipse penumbral footprint sampling.
type SolarEclipsePartialFootprintOptions struct {
// Step 是基础时间采样步长;<=0 时使用 5 分钟。
// Step is the base time step; values <= 0 use five minutes.
Step time.Duration
// BoundaryPoints 是每个瞬时半影边界的角向采样点数;<=0 时使用 180。
// BoundaryPoints is the angular sample count for each instantaneous penumbral boundary; values <= 0 use 180.
BoundaryPoints int
// CentralShadowStep 是本影/反本影瞬时足迹的采样步长;<=0 时不计算。
// CentralShadowStep is the umbral/antumbral footprint step; values <= 0 disable it.
CentralShadowStep time.Duration
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}
// SolarEclipsePartialAreaOptions 是 SolarEclipsePartialFootprintOptions 的兼容别名。
// SolarEclipsePartialAreaOptions is a compatibility alias for SolarEclipsePartialFootprintOptions.
type SolarEclipsePartialAreaOptions = SolarEclipsePartialFootprintOptions
// SolarEclipsePartialFootprint 表示某一时刻的半影足迹边界。
// SolarEclipsePartialFootprint is the penumbral footprint boundary at one instant.
type SolarEclipsePartialFootprint struct {
// Time 时刻,保持用户输入时区, time in the input location.
Time time.Time
// Boundaries 是半影边界分段;反经线或无效投影会拆成多段。
// Boundaries are segmented penumbral boundary polylines, split at invalid projections or the antimeridian.
Boundaries [][]SolarEclipsePathPoint
// Closed 表示 Boundaries 是否构成一个闭合边界。
// Closed indicates whether Boundaries form one closed boundary.
Closed bool
}
// SolarEclipsePartialFootprintsInfo 表示一次日食的偏食半影足迹序列。
// SolarEclipsePartialFootprintsInfo contains penumbral footprint samples for a solar eclipse.
type SolarEclipsePartialFootprintsInfo struct {
// Eclipse 是对应的全局日食信息, related global solar eclipse information.
Eclipse SolarEclipseInfo
// Footprints 是按时间采样的瞬时半影足迹, sampled instantaneous penumbral footprints.
Footprints []SolarEclipsePartialFootprint
// CentralShadowFootprints 是按时间采样的本影/反本影足迹。
// CentralShadowFootprints are sampled umbral/antumbral footprints.
CentralShadowFootprints []SolarEclipsePartialFootprint
// P1-P4 是半影与地球的外切/内切接触点;不存在的内切点保持零值。
// P1-P4 are external/internal penumbral contacts; absent internal contacts remain zero.
P1 SolarEclipsePathPoint
P2 SolarEclipsePathPoint
P3 SolarEclipsePathPoint
P4 SolarEclipsePathPoint
// U1-U4 是本影/反本影与地球的外切/内切接触点;不存在时保持零值。
// U1-U4 are external/internal umbral/antumbral contacts; absent contacts remain zero.
U1 SolarEclipsePathPoint
U2 SolarEclipsePathPoint
U3 SolarEclipsePathPoint
U4 SolarEclipsePathPoint
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// Step 是实际采用的基础时间采样步长, effective base time step.
Step time.Duration
// BoundaryPoints 是实际采用的边界角向采样点数。
// BoundaryPoints is the effective angular sample count for each boundary.
BoundaryPoints int
// CentralShadowStep 是本影/反本影足迹的实际采样步长;0 表示未计算。
// CentralShadowStep is the effective umbral/antumbral footprint step; zero means disabled.
CentralShadowStep time.Duration
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}
// SolarEclipsePartialAreaInfo 是 SolarEclipsePartialFootprintsInfo 的兼容别名。
// SolarEclipsePartialAreaInfo is a compatibility alias for SolarEclipsePartialFootprintsInfo.
type SolarEclipsePartialAreaInfo = SolarEclipsePartialFootprintsInfo
type solarEclipsePathCalculator func(float64, basic.SolarEclipsePathOptions) basic.SolarEclipsePathResult
type solarEclipsePartialFootprintsCalculator func(float64, basic.SolarEclipsePartialFootprintOptions) basic.SolarEclipsePartialFootprintsResult
// SolarEclipseCentralPath 计算指定日期附近的日食中心路径,默认使用 NASA bulletin Split-K 模型。
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// SolarEclipseCentralPath computes the central path near the given date, using NASA bulletin Split-K by default.
func SolarEclipseCentralPath(date time.Time, options SolarEclipsePathOptions) (SolarEclipsePath, bool) {
return SolarEclipseCentralPathNASABulletinSplitK(date, options)
}
// SolarEclipseCentralPathNASABulletinSplitK 使用 NASA bulletin Split-K 模型计算日食中心路径。
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// SolarEclipseCentralPathNASABulletinSplitK computes the central path with the NASA bulletin Split-K model.
func SolarEclipseCentralPathNASABulletinSplitK(date time.Time, options SolarEclipsePathOptions) (SolarEclipsePath, bool) {
return solarEclipseCentralPath(date, options, basic.SolarEclipseCentralPathNASABulletinSplitK)
}
// SolarEclipseCentralPathIAUSingleK 使用 IAU Single-K 模型计算日食中心路径。
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// SolarEclipseCentralPathIAUSingleK computes the central path with the IAU Single-K model.
func SolarEclipseCentralPathIAUSingleK(date time.Time, options SolarEclipsePathOptions) (SolarEclipsePath, bool) {
return solarEclipseCentralPath(date, options, basic.SolarEclipseCentralPathIAUSingleK)
}
// SolarEclipsePartialFootprints 计算指定日期附近的日食半影足迹,默认使用 NASA bulletin Split-K 模型。
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// SolarEclipsePartialFootprints computes penumbral footprint samples near the given date, using NASA bulletin Split-K by default.
func SolarEclipsePartialFootprints(date time.Time, options SolarEclipsePartialFootprintOptions) (SolarEclipsePartialFootprintsInfo, bool) {
return SolarEclipsePartialFootprintsNASABulletinSplitK(date, options)
}
// SolarEclipsePartialFootprintsNASABulletinSplitK 使用 NASA bulletin Split-K 模型计算日食半影足迹。
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// SolarEclipsePartialFootprintsNASABulletinSplitK computes penumbral footprint samples with the NASA bulletin Split-K model.
func SolarEclipsePartialFootprintsNASABulletinSplitK(date time.Time, options SolarEclipsePartialFootprintOptions) (SolarEclipsePartialFootprintsInfo, bool) {
return solarEclipsePartialFootprints(date, options, basic.SolarEclipsePartialFootprintsNASABulletinSplitK)
}
// SolarEclipsePartialFootprintsIAUSingleK 使用 IAU Single-K 模型计算日食半影足迹。
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// SolarEclipsePartialFootprintsIAUSingleK computes penumbral footprint samples with the IAU Single-K model.
func SolarEclipsePartialFootprintsIAUSingleK(date time.Time, options SolarEclipsePartialFootprintOptions) (SolarEclipsePartialFootprintsInfo, bool) {
return solarEclipsePartialFootprints(date, options, basic.SolarEclipsePartialFootprintsIAUSingleK)
}
// SolarEclipsePartialArea 计算半影足迹,是 SolarEclipsePartialFootprints 的兼容包装。
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// SolarEclipsePartialArea computes penumbral footprint samples and is a compatibility wrapper for SolarEclipsePartialFootprints.
func SolarEclipsePartialArea(date time.Time, options SolarEclipsePartialAreaOptions) (SolarEclipsePartialAreaInfo, bool) {
return SolarEclipsePartialFootprints(date, options)
}
// SolarEclipsePartialAreaNASABulletinSplitK 是 SolarEclipsePartialFootprintsNASABulletinSplitK 的兼容包装。
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// SolarEclipsePartialAreaNASABulletinSplitK is a compatibility wrapper for SolarEclipsePartialFootprintsNASABulletinSplitK.
func SolarEclipsePartialAreaNASABulletinSplitK(date time.Time, options SolarEclipsePartialAreaOptions) (SolarEclipsePartialAreaInfo, bool) {
return SolarEclipsePartialFootprintsNASABulletinSplitK(date, options)
}
// SolarEclipsePartialAreaIAUSingleK 是 SolarEclipsePartialFootprintsIAUSingleK 的兼容包装。
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// SolarEclipsePartialAreaIAUSingleK is a compatibility wrapper for SolarEclipsePartialFootprintsIAUSingleK.
func SolarEclipsePartialAreaIAUSingleK(date time.Time, options SolarEclipsePartialAreaOptions) (SolarEclipsePartialAreaInfo, bool) {
return SolarEclipsePartialFootprintsIAUSingleK(date, options)
}
func solarEclipseCentralPath(
date time.Time,
options SolarEclipsePathOptions,
calculator solarEclipsePathCalculator,
) (SolarEclipsePath, bool) {
location := date.Location()
result := calculator(solarEclipseTimeToTTJDE(date), basicSolarEclipsePathOptions(options))
if !result.Eclipse.HasCentral || len(result.CenterLine) == 0 {
return SolarEclipsePath{}, false
}
path := SolarEclipsePath{
Eclipse: solarEclipseInfoFromBasic(result.Eclipse, location),
Greatest: solarEclipsePathPointFromBasic(result.Greatest, location),
CenterLine: solarEclipsePathPointsFromBasic(result.CenterLine, location),
NorthernLimit: solarEclipsePathPointsFromBasic(result.NorthernLimit, location),
SouthernLimit: solarEclipsePathPointsFromBasic(result.SouthernLimit, location),
Step: solarEclipsePathStepDuration(result.StepDays),
TargetSpacingKM: result.TargetSpacingKM,
}
return path, true
}
func solarEclipsePartialFootprints(
date time.Time,
options SolarEclipsePartialFootprintOptions,
calculator solarEclipsePartialFootprintsCalculator,
) (SolarEclipsePartialFootprintsInfo, bool) {
location := date.Location()
result := calculator(solarEclipseTimeToTTJDE(date), basicSolarEclipsePartialFootprintOptions(options))
if !result.Eclipse.HasPartial || len(result.Footprints) == 0 {
return SolarEclipsePartialFootprintsInfo{}, false
}
footprints := SolarEclipsePartialFootprintsInfo{
Eclipse: solarEclipseInfoFromBasic(result.Eclipse, location),
Footprints: solarEclipsePartialFootprintsFromBasic(result.Footprints, location),
CentralShadowFootprints: solarEclipsePartialFootprintsFromBasic(result.CentralShadowFootprints, location),
P1: solarEclipseOptionalPathPointFromBasic(result.P1, location),
P2: solarEclipseOptionalPathPointFromBasic(result.P2, location),
P3: solarEclipseOptionalPathPointFromBasic(result.P3, location),
P4: solarEclipseOptionalPathPointFromBasic(result.P4, location),
U1: solarEclipseOptionalPathPointFromBasic(result.U1, location),
U2: solarEclipseOptionalPathPointFromBasic(result.U2, location),
U3: solarEclipseOptionalPathPointFromBasic(result.U3, location),
U4: solarEclipseOptionalPathPointFromBasic(result.U4, location),
Step: solarEclipsePathStepDuration(result.StepDays),
BoundaryPoints: result.BoundaryPoints,
CentralShadowStep: solarEclipsePathStepDuration(result.CentralShadowStepDays),
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}
return footprints, true
}
func basicSolarEclipsePathOptions(options SolarEclipsePathOptions) basic.SolarEclipsePathOptions {
basicOptions := basic.SolarEclipsePathOptions{
TargetSpacingKM: options.TargetSpacingKM,
}
if options.Step > 0 {
basicOptions.StepDays = options.Step.Hours() / 24
}
return basicOptions
}
func basicSolarEclipsePartialFootprintOptions(options SolarEclipsePartialFootprintOptions) basic.SolarEclipsePartialFootprintOptions {
basicOptions := basic.SolarEclipsePartialFootprintOptions{
BoundaryPoints: options.BoundaryPoints,
}
if options.Step > 0 {
basicOptions.StepDays = options.Step.Hours() / 24
}
if options.CentralShadowStep > 0 {
basicOptions.CentralShadowStepDays = options.CentralShadowStep.Hours() / 24
}
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return basicOptions
}
func solarEclipsePathStepDuration(stepDays float64) time.Duration {
return time.Duration(math.Round(stepDays * 24 * float64(time.Hour)))
}
func solarEclipsePathPointsFromBasic(points []basic.SolarEclipsePathPoint, location *time.Location) []SolarEclipsePathPoint {
if len(points) == 0 {
return nil
}
result := make([]SolarEclipsePathPoint, len(points))
for i, point := range points {
result[i] = solarEclipsePathPointFromBasic(point, location)
}
return result
}
func solarEclipsePathPointFromBasic(point basic.SolarEclipsePathPoint, location *time.Location) SolarEclipsePathPoint {
return SolarEclipsePathPoint{
Time: solarEclipseTTJDEToTime(point.JDE, location),
Longitude: point.Longitude,
Latitude: point.Latitude,
SunAltitude: point.SunAltitude,
WidthKM: point.WidthKM,
}
}
func solarEclipseOptionalPathPointFromBasic(point basic.SolarEclipsePathPoint, location *time.Location) SolarEclipsePathPoint {
if point.JDE == 0 {
return SolarEclipsePathPoint{}
}
return solarEclipsePathPointFromBasic(point, location)
}
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func solarEclipsePartialFootprintsFromBasic(
footprints []basic.SolarEclipsePartialFootprint,
location *time.Location,
) []SolarEclipsePartialFootprint {
if len(footprints) == 0 {
return nil
}
result := make([]SolarEclipsePartialFootprint, len(footprints))
for i, footprint := range footprints {
result[i] = SolarEclipsePartialFootprint{
Time: solarEclipseTTJDEToTime(footprint.JDE, location),
Boundaries: solarEclipsePartialBoundariesFromBasic(footprint.Boundaries, location),
Closed: footprint.Closed,
}
}
return result
}
func solarEclipsePartialBoundariesFromBasic(
boundaries [][]basic.SolarEclipsePathPoint,
location *time.Location,
) [][]SolarEclipsePathPoint {
if len(boundaries) == 0 {
return nil
}
result := make([][]SolarEclipsePathPoint, len(boundaries))
for i, boundary := range boundaries {
result[i] = solarEclipsePathPointsFromBasic(boundary, location)
}
return result
}